BEGIN:VCALENDAR VERSION:2.0 PRODID:-//SPIP/Plugin Agenda//NONSGML v1.0//FR X-WR-TIMEZONE:Europe/Paris CALSCALE:GREGORIAN X-WR-CALNAME;VALUE=TEXT:Séminaire d’Analyse Fonctionnelle -- Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS X-WR-RELCALID:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20190131T131803Z-a174-e650@lmb.univ-fcomte.fr DTSTAMP:20190131T131803Z DTSTART:20190409T114500Z DTEND:20190409T133000Z CREATED:20190131T131803Z LAST-MODIFIED:20190131T131803Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Gilles Godefroy CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=650 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20190307T105813Z-a174-e674@lmb.univ-fcomte.fr DTSTAMP:20190307T105813Z DTSTART:20190320T153000Z DTEND:20190320T163000Z CREATED:20190307T105813Z LAST-MODIFIED:20190307T105813Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Frédéric Patras CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=674 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Singular stochastic integral operators UID:20190206T112341Z-a174-e653@lmb.univ-fcomte.fr DTSTAMP:20190206T112341Z DTSTART:20190319T124500Z DTEND:20190319T140000Z CREATED:20190206T112341Z LAST-MODIFIED:20190227T111007Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Emiel Lorist DESCRIPTION:Singular stochastic integrals of the form$$ S_K G(t) :=\int_0^\infty K(t\,s) G(s) \\,\mathrmd W_H(s)\, \qquad t\in \mathbbR_+\,$$appear naturally in questions related to stochastic maximal regularity. Here $G$ is an adapted process\, $W_H$ is a cylindrical Brownian motion and $K$ is allowed be singular.In this talk I will introduce Calder\'on—Zygmund theory for such singular stochastic integrals with operator-valued kernel $K$.I will first discuss $L^p$-extrapolation under a H\"ormander condition on the kernel. Afterwards I will treat sparse domination and sharp weighted bounds under a Dini condition on the kernel\, leading to a stochastic analog of the solution to the $A_2$-conjecture. The developed theory implies $p$-independence and weighted bounds for stochastic maximal $L^p$-regularity both in the complex and real interpolation scale. This leads to mixed $L^p(L^q)$-theory for several stochastic partial differential equations\, of which I will give a few examples. This talk is based on joint work with Mark Veraar. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=653 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Monotone Increment Processes\, Classical Markov Processes and Loewner Chains UID:20190129T152612Z-a174-e647@lmb.univ-fcomte.fr DTSTAMP:20190129T152612Z DTSTART:20190312T124500Z DTEND:20190312T140000Z CREATED:20190129T152612Z LAST-MODIFIED:20190228T104854Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Uwe Franz DESCRIPTION:We prove a one-to-one correspondence between certain decreasing Loewner chains in the upper half-plane\, a special class of real-valued Markov processes\, and quantum stochastic processes with monotonically independent additive increments. This leads us to a detailed investigation of probability measures on the real line with univalent Cauchy transform. We discuss several subclasses of such measures and obtain characterizations in terms of analytic and geometric properties of the corresponding Cauchy transforms. Joint work with Takahiro Hasebe and Sebastian Schleissinger. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=647 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Commutative and noncommutative $C^\infty$-functional calculus UID:20190227T110858Z-a174-e666@lmb.univ-fcomte.fr DTSTAMP:20190227T110858Z DTSTART:20190307T123000Z DTEND:20190307T140000Z CREATED:20190227T110858Z LAST-MODIFIED:20190227T110858Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Oleg Aristov DESCRIPTION:In Noncommutative Differential Geometry\, somedense subalgebras of $C^*$-algebras are considered. But there isstill no an axiomatic definition of 'function algebras' onnoncommutative $C^\infty$-manifolds or\, more generally\,$C^\infty$-spaces. One of main requirement to a candidate for thetitle is stability under $C^\infty$ -functional calculus forseveral commuting self-adjoint elements. We exhibit conditionsthat guarantee existence of a $C^\infty$-functional calculus onthe joint spectrum of a commuting tuple of self-adjoint elementson a $C^*$-spectral Arens-Michael $*$-algebra and compare them tothe Kissin-Shulman differential norm condition. We also discuss how to construct an enveloping functor that mapsalgebras of polynomials to algebras of $C^\infty$-functions andthat is compatible with Pontryagin duality for abelian real Liegroups. The more distant goal is to extend Pontryagin duality fromabelian Lie groups to all Lie groups. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=666 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Duality for Hopf holomorphically finitely generated algebras UID:20190124T165715Z-a174-e643@lmb.univ-fcomte.fr DTSTAMP:20190124T165715Z DTSTART:20190305T124500Z DTEND:20190305T140000Z CREATED:20190124T165715Z LAST-MODIFIED:20190227T110644Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Oleg Aristov DESCRIPTION:Inspired by the duality theory of locally compactquantum groups we discuss a class of topological Hopf algebrasthat can be considered as algebras of 'holomorphic functions onquantum complex Lie groups'. A Hopf holomorphically finitelygenerated (HFG) algebra is introduced as a topological Hopfalgebra that is a quotient of Taylor's algebra of free entirefunctions. For every Hopf HFG algebra $H$\, the dual topologicalHopf algebra $H^\circ$ can be defined. We talk over conditions\,under which $H^\circ$ is HFG. The natural commutative example of a Hopf HFG algebra is$\mathcalO(G)$\, the algebra of holomorphic functions on acomplex Lie group $G$. It is shown\, under the assumption that $G$is connected\, that $\mathcalO(G)^\circ\circ\cong\mathcalO(G)$ iff $G$ is linear\, i.e.\, admits a faithfulfinite-dimensional holomorphic representation. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=643 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Extremal structure in Lipschitz-free spaces UID:20190131T131657Z-a174-e649@lmb.univ-fcomte.fr DTSTAMP:20190131T131657Z DTSTART:20190226T124500Z DTEND:20190226T140000Z CREATED:20190131T131657Z LAST-MODIFIED:20190131T200051Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Ramón Aliaga DESCRIPTION:We will review the current knowledge on extremal structure of the unit balls of Lipschitz-free spaces. We will focus on the characterization of various types of extremal molecules\, and highlight how they establish a duality between linear alignment on the free space and metric alignment on the underlying metric space. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=649 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20190124T165658Z-a174-e642@lmb.univ-fcomte.fr DTSTAMP:20190124T165658Z DTSTART:20190212T124500Z DTEND:20190212T140000Z CREATED:20190124T165658Z LAST-MODIFIED:20190124T165658Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Noé de Rancourt CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=642 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:On free multiplicative convolution with the free normal distributions on the unit circle UID:20181127T134837Z-a174-e624@lmb.univ-fcomte.fr DTSTAMP:20181127T134837Z DTSTART:20190205T124500Z DTEND:20190205T140000Z CREATED:20181127T134837Z LAST-MODIFIED:20190129T093809Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Yuki Ueda DESCRIPTION:The free multiplicative convolution means a distribution of product of freely independent random variables. In general\, it is very difficult to find a density function of free multiplicative convolution of two probability measures on the unit circle. However\, Zhong found a density formula of free multiplicative convolution with the free normal distributions on the unit circle. We will talk about unimodality for free multiplicative convolution with the free normal distributions on the unit circle by using Zhong's density formula. This is a jointwork with Takahiro Hasebe in Hokkaido university. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=624 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Linear structure of functions with maximal Clarke subdifferential UID:20190114T100739Z-a174-e636@lmb.univ-fcomte.fr DTSTAMP:20190114T100739Z DTSTART:20190115T124500Z DTEND:20190115T134500Z CREATED:20190114T100739Z LAST-MODIFIED:20190114T100805Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Gonzalo Flores DESCRIPTION:We prove that the set of real valued Lipschitz functions defined over finite dimensional spaces whose Clarke subdifferential is maximal at every point contains a linear subspace of uncountable dimension. This result goes in the line of a previous result by J. Borwein and X. Wang that shows some type of density in a similar context. Nevertheless\, contrary to that result\, our aproach is constructive. Moreover\, in our setting we establish the spaceability of this property in the set of Lipschitz continuous functions. Joint work with A. Daniilidis. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=636 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Contre-exemples explicites réfutant la conjecture de Schäffer UID:20190105T084811Z-a174-e633@lmb.univ-fcomte.fr DTSTAMP:20190105T084811Z DTSTART:20190108T124500Z DTEND:20190108T134500Z CREATED:20190105T084811Z LAST-MODIFIED:20190105T085416Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Rachid Zarouf DESCRIPTION: CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=633 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Journée de jeunes analystes non commutatifs UID:20181130T130723Z-a174-e626@lmb.univ-fcomte.fr DTSTAMP:20181130T130723Z DTSTART:20181219T080000Z DTEND:20181219T163000Z CREATED:20181130T130723Z LAST-MODIFIED:20181213T164145Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] DESCRIPTION: Guixiang Hong (Wuhan University) : Vector-valued Littlewood-Paley theorem for sum and difference sets Chao Zhang (Universidad Autonoma de Madrid) On some properties of the differential transforms related to the fractional parabolic Poisson semigroupsHaonan Zhang (UFC) : Carlen-Frank-Lieb conjecture and monotonicity of α-z Renyi relative entropy Simeng Wang (Université Paris Sud) : Factoriality and type classification for q-deformed Araki-Woods algebras Sheng Yin (Universitat des Saarlandes) : Free analysis : zero divisors and Atiyah properties Isabelle Baraquin (UFC) : Random walks on finite quantum groups Xumin Wang (UFC) : Fourier multipliers on some discrete groups CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=626 SEQUENCE:4 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Decoupling for moment manifolds UID:20181130T130151Z-a174-e625@lmb.univ-fcomte.fr DTSTAMP:20181130T130151Z DTSTART:20181211T124500Z DTEND:20181211T134500Z CREATED:20181130T130151Z LAST-MODIFIED:20181130T130151Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Pavel Zorin-Kranich DESCRIPTION:Sharp decoupling inequalities for curved submanifolds with either dimension or codimension 1\, obtained by Bourgain\, Demeter\, and Guth\, have striking applications ranging from Strichartz estimates to Weyl sum estimates. Using the parabola as an example I will indicate the role of multilinear estimates and transversality in their proofs. Understanding transversality in higher dimension and codimension remainsa challenge. I will report on the latest progress in this direction obtained in joint work with S. Guo. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=625 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Différentiabilité à l'ordre n pour les fonctions d'opérateurs dans les classes de Schatten UID:20181024T212913Z-a174-e602@lmb.univ-fcomte.fr DTSTAMP:20181024T212913Z DTSTART:20181204T124500Z DTEND:20181204T134500Z CREATED:20181024T212913Z LAST-MODIFIED:20181104T190428Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Christian Le Merdy CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=602 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Quelques remarques autour de la fréquente hypercyclicité commune UID:20181104T192854Z-a174-e605@lmb.univ-fcomte.fr DTSTAMP:20181104T192854Z DTSTART:20181127T124500Z DTEND:20181127T134500Z CREATED:20181104T192854Z LAST-MODIFIED:20181104T192854Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Romuald Ernst DESCRIPTION:Dans cet exposé\, je comparerai certains résultats de dynamique linéaire dus à différents auteurs et j'expliquerai ce qui m'a motivé à considérer les questions de fréquente hypercyclicité commune. Je parlerai ensuite de travaux en cours obtenus en collaboration avec Monia Mestiri (Mons) et Augustin Mouze (Lille) sur ce sujet. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=605 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Cesàro bounded operators on Banach spaces UID:20181024T215357Z-a174-e603@lmb.univ-fcomte.fr DTSTAMP:20181024T215357Z DTSTART:20181120T124500Z DTEND:20181120T134500Z CREATED:20181024T215357Z LAST-MODIFIED:20181024T215810Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Waed Dada DESCRIPTION:In the first part of my talk I will explain the paper [1]. The authors gave several notations of boundedness for operators like strongly Kreiss bounded\, uniformly Kreiss bounded and Kreiss bounded operators. It is known that any power bounded operator is absolutely Cesaro bounded and strongly Kreiss bounded (in particular\, uniformly Kreiss bounded). The converses do not hold in general.Moreover\, they obtained also a characterization of power boundeded operators which generalizes a results in [2].Aleman and Suciu in [3] asked if every uniformly Kreiss bounded operator $T$ on a Banach space satisfies that $\lim \|T^n/n\|=0$. The authors in [1] solve this question for operators on Hilbert spaces. In addition\, they proved that\, if $T$ is absolutely Cesaro bounded on a Banach (Hilbert) space\, then $\|T^n\|=o(n)$.As a consequence\, every absolutely Cesaro bounded operator on a reflexive Banach space is mean ergodic.In the second part of my talk I will answer the question : ”Are the Tadmor-Ritt operators mean ergodic ?” for simple cases for operators. References[1] Bemudez T.\, Bonilla A.\, Muller V. and Peris A.\, Cesaro bounded operators in Banach spaces\, preprint (2018).[2] Van Casteren J. A.\, Boundedness properties of resolvents and semigroups of operators. Linear operators Banach Center Publ.\, 38\, Polish Acad. Sci. Inst. Math.\, Warsaw\, (1997) 59–74.[3] Aleman A. and Suciu L.\, On ergodic operator means in Banach spaces\, Integral Equations Operator Theory\, 85 (2016) 259–287. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=603 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:A Noncommutative Generalisation of a Problem of Steinhaus UID:20181104T191922Z-a174-e604@lmb.univ-fcomte.fr DTSTAMP:20181104T191922Z DTSTART:20181113T124500Z DTEND:20181113T134500Z CREATED:20181104T191922Z LAST-MODIFIED:20181105T210957Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Thomas Scheckter DESCRIPTION:Responding to work of Révész on a problem of Steinhaus\, Komlós showed that everyintegrable sequence of random variables contains a subsequence which “satisfiesthe strong law of large numbers”\, such that the sequence of Cesàro averagesconverges almost everywhere. We solve an open problem of Randrianantoanina byextending this result to arbitrary semifinite von Neumann algebras. In thistalk we discuss the history of the problem\, what it means to study almosteverywhere convergence in the noncommutative setting\, the technical obstructionsof the noncommutative setting\, and several related results. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=604 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Noncommutative tail probability of maximal sums UID:20180924T115811Z-a174-e588@lmb.univ-fcomte.fr DTSTAMP:20180924T115811Z DTSTART:20181023T114500Z DTEND:20181023T124500Z CREATED:20180924T115811Z LAST-MODIFIED:20180928T213526Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Ali Talebi DESCRIPTION:One of important types of probability inequalities relates tail probabilities for the maximal partial sum of independent random variables such as Kolmogorov inequality.It is known that a strong law of large numbers can be deduced from a maximal inequality for a certain sequence of random variables. One of the major problems occurring in the noncommutative probability theory concerns with the extensions of classical inequalities to the noncommutative setup. Based on a maximal inequality type result of Cuculescu\, we establish some noncom-mutative maximal inequalities. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=588 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Schauder Bases in Lipschitz Free Spaces UID:20180924T120203Z-a174-e589@lmb.univ-fcomte.fr DTSTAMP:20180924T120203Z DTSTART:20181016T114500Z DTEND:20181016T124500Z CREATED:20180924T120203Z LAST-MODIFIED:20180928T212900Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Matěj Novotný DESCRIPTION:We summarize known results about Schauder bases in Lipschitz Free spaces and bring some constructive examples. Further we will mention the question of unconditionality of such bases. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=589 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Espaces de Banach réflexifs asymptotiquement $c_0$ et plongements grossiers UID:20180924T115427Z-a174-e587@lmb.univ-fcomte.fr DTSTAMP:20180924T115427Z DTSTART:20181002T114500Z DTEND:20181002T124500Z CREATED:20180924T115427Z LAST-MODIFIED:20181001T084315Z LOCATION:324B-2 ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Gilles Lancien DESCRIPTION:Nous démontrons que la classe des espaces de Banach réflexifs asymptotiquement $c_0$ est stable par plongements grossiers ou uniformes. Pour obtenir ce résultat\, nous exhibons une caractérisation purement métrique de cette classe d'espaces de Banach. Cette caractérisation s'énonce comme une propriété de concentration des applications lipschitziennes définies sur les graphes de Hamming. Il s'agit d'un travail en commun avec F. Baudier\, P. Motakis et Th. Schlumprecht. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=587 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Idempotent states on quantum groups UID:20180906T130412Z-a174-e577@lmb.univ-fcomte.fr DTSTAMP:20180906T130412Z DTSTART:20180925T114500Z DTEND:20180925T130000Z CREATED:20180906T130412Z LAST-MODIFIED:20180906T130412Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Haonan Zhang CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=577 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Finitely generated ideals in group algebras UID:20180906T130155Z-a174-e576@lmb.univ-fcomte.fr DTSTAMP:20180906T130155Z DTSTART:20180918T114500Z DTEND:20180918T130000Z CREATED:20180906T130155Z LAST-MODIFIED:20180906T130155Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Jared White CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=576 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Infinite mode quantum Gaussian states UID:20180820T090523Z-a174-e572@lmb.univ-fcomte.fr DTSTAMP:20180820T090523Z DTSTART:20180911T114500Z DTEND:20180911T130000Z CREATED:20180820T090523Z LAST-MODIFIED:20180820T090523Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:B.V.R. Bhat CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=572 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20180601T092501Z-a174-e563@lmb.univ-fcomte.fr DTSTAMP:20180601T092501Z DTSTART:20180703T114500Z DTEND:20180703T130000Z CREATED:20180601T092501Z LAST-MODIFIED:20180601T092501Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Biswarup Das CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=563 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20180507T192807Z-a174-e551@lmb.univ-fcomte.fr DTSTAMP:20180507T192807Z DTSTART:20180605T114500Z DTEND:20180605T130000Z CREATED:20180507T192807Z LAST-MODIFIED:20180507T192807Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Uwe Franz CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=551 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Ecole de printemps 2018 du GdR AFHP UID:20180427T125342Z-a174-e548@lmb.univ-fcomte.fr DTSTAMP:20180427T125342Z DTSTART:20180529T113000Z DTEND:20180601T103000Z CREATED:20180427T125342Z LAST-MODIFIED:20180427T125342Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Guillaume Aubrun (Lyon)\, Marek Cúth (Prague) et Sophie Grivaux (Lille) DESCRIPTION:Voir le programme ici. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=548 SEQUENCE:0 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Ultrahomogeneïté et propriété de Ramsey dans les espaces $L_p$ UID:20180427T090112Z-a174-e547@lmb.univ-fcomte.fr DTSTAMP:20180427T090112Z DTSTART:20180528T114500Z DTEND:20180528T130000Z CREATED:20180427T090112Z LAST-MODIFIED:20180507T192419Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Valentin Ferenczi CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=547 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20180424T145433Z-a174-e543@lmb.univ-fcomte.fr DTSTAMP:20180424T145433Z DTSTART:20180522T114500Z DTEND:20180522T130000Z CREATED:20180424T145433Z LAST-MODIFIED:20180424T145433Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Matias Raja CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=543 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Markovianity as a distributional symmetry UID:20180216T081125Z-a174-e512@lmb.univ-fcomte.fr DTSTAMP:20180216T081125Z DTSTART:20180515T114500Z DTEND:20180515T130000Z CREATED:20180216T081125Z LAST-MODIFIED:20180507T192339Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Claus Koestler CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=512 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Weyl Pseudodifferential Operators in Ornstein-Uhlenbeck Settings UID:20180424T145058Z-a174-e542@lmb.univ-fcomte.fr DTSTAMP:20180424T145058Z DTSTART:20180502T114500Z DTEND:20180502T130000Z CREATED:20180424T145058Z LAST-MODIFIED:20180424T145058Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Sean Harris DESCRIPTION:The classical Weyl pseudodifferential calculus is a particular choice of "quantisation" - a way to take functions of the position and momentum operators on R^n. This pseudodifferential calculus allows study of complicated operators to be (mostly) encapsulated by studying their symbols. Ornstein-Uhlenbeck (OU) operators are analogs of the Laplacian adapted to spaces with Gaussian measure\, and arise in many areas including stochastic analysis\, quantum field theory and harmonic analysis. They are particularly nasty if tackled analytically and directly\, with very rigid structures (for example\, the standard OU operator has only H^\infty calculus on L^p\, the proof of which takes over 100 pages in full detail !). From one of these origins\, the OU operator arises naturally as a "function" of position- and momentum-like operators\, which suggests that the ideas of Weyl calculi may be applicable. After explaining these and other important concepts\, I will explain my current work in adapting the Weyl pseudodifferential calculus to the OU setting. This is of a very different flavour to the standard Weyl pseudodifferential calculus\, with interesting links to complex analysis and Banach algebras. At present\, it seems that using the Weyl calculus splits the problem of studying OU operators into an algebraic part and an analytic part\, the analytic part being almost trivial when compared to the analysis used for studying OU directly. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=542 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:A propos d'un lemme de Connes UID:20180319T104350Z-a174-e531@lmb.univ-fcomte.fr DTSTAMP:20180319T104350Z DTSTART:20180424T114500Z DTEND:20180424T130000Z CREATED:20180319T104350Z LAST-MODIFIED:20180403T075112Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Yi-Jun YAO DESCRIPTION:Nous allons présenter les détails concernant Lemme VI.3.9 du livre "Noncommutative Geometry" d'Alain Connes. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=531 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Smooth dense subalgebras and Fourier multipliers on compact quantum groups UID:20180209T144526Z-a174-e509@lmb.univ-fcomte.fr DTSTAMP:20180209T144526Z DTSTART:20180403T114500Z DTEND:20180403T130000Z CREATED:20180209T144526Z LAST-MODIFIED:20180328T073431Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Rauan Akylzhanov DESCRIPTION:We define and study dense Frechet subalgebras of compact quantum groups consisting of elements rapidly decreasing with respect to an unbounded self-adjoint Dirac-like operator with compact resolvent. Further\, we characterise the boundedness of its commutators in terms of the eigenvalues. Grotendieck's theory of topological tensor products immediately yields a Schwartz kernel theorem for linear operators on compact quantum groups and allows us to introduce a natural class of pseudo-differential operators on compact quantum groups. Further\, we show that composition of two regular pseudo-differential operators is a regular pseudo-differential operator. As a by-product\, we develop elements of the distribution theory and corresponding Fourier analysis. We give applications of our construction to obtain sufficient conditions for Lp - Lq boundedness of coinvariant linear operators. We provide necessary and sufficient conditions for algebraic differential calculi on Hopf subalgebras of compact quantum groups to extend to the proposed smooth structure. We check explicitly that these conditions hold true on the quantum SUq(2) for both its 3-dimensional and 4-dimensional calculi. Joint work with Michael Ruzhansky and Shahn Majid. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=509 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Journées en Analyse Fonctionnelle UID:20171027T152606Z-a174-e444@lmb.univ-fcomte.fr DTSTAMP:20171027T152606Z DTSTART:20180326T120000Z DTEND:20180327T153000Z CREATED:20171027T152606Z LAST-MODIFIED:20180305T161241Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Journées en Analyse Fonctionnelle DESCRIPTION:Le programme : https://lmb.univ-fcomte.fr/Journees-en-Analyse-Fonctionnelle CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=444 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Nonlinear weakly sequentially continuous embeddings between Banach spaces UID:20180123T084019Z-a174-e495@lmb.univ-fcomte.fr DTSTAMP:20180123T084019Z DTSTART:20180320T124500Z DTEND:20180320T140000Z CREATED:20180123T084019Z LAST-MODIFIED:20180216T081021Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Bruno de Mendoça Braga DESCRIPTION:In this talk\, we study nonlinear embeddings between Banach spaces which are also weakly sequentially continuous. In particular\, our main result implies that if a Banach space $X$ coarsely (resp. uniformly) embeds into a Banach space $Y$ by a weakly sequentially continuous map\, then every spreading model $(e_n)_n$ of a normalized weakly null sequence in $X$ satisfies $\|e_1+\dots + e_k \|_\delta \lesssim \|e_1+\dots +e_k\|_S\,$ where $\delta$ is the modulus of asymptotic uniform convexity of $Y$. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=495 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Schur multipliers in perturbation theory UID:20180109T142849Z-a174-e478@lmb.univ-fcomte.fr DTSTAMP:20180109T142849Z DTSTART:20180313T124500Z DTEND:20180313T140000Z CREATED:20180109T142849Z LAST-MODIFIED:20180226T160638Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Anna Skripka DESCRIPTION:We will recall classical Schur multipliers acting on matrices and consider their generalizations to multilinear transformations arising in infinite dimensional perturbation theory. As an application\, we will discuss several recent results on approximation of operator functions. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=478 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Séminaire d'Analyse Fonctionnelle UID:20181127T113033Z-a174-e621@lmb.univ-fcomte.fr DTSTAMP:20181127T113033Z DTSTART:20180305T123000Z DTEND:20180305T140000Z CREATED:20181127T113033Z LAST-MODIFIED:20181127T113033Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Oleg Aristov CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=621 SEQUENCE:0 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:On the distribution of the zeros of exponential polynomials UID:20180123T082341Z-a174-e494@lmb.univ-fcomte.fr DTSTAMP:20180123T082341Z DTSTART:20180227T124500Z DTEND:20180227T140000Z CREATED:20180123T082341Z LAST-MODIFIED:20180130T070750Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Gaspar Mora DESCRIPTION:In this talk we analyse the distribution of the zeros of exponentialpolynomials$h(z) :=1+\sum_k=1^N a_k e^-zr_k$ ; $z\, a_k\in \mathbb C$\, $r_k>0$\, $N\geq 1$by means of the structure of the set $R_h(z) :=\overline\ \Rez:h(z)=0\ $. Our special interest is focused when $h(z)$ is apartial sum of the Riemann zeta function or a partial sum of the Dirichletalternating series. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=494 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Extrapolation for multilinear Muckenhoupt class of weights and applications UID:20180116T145144Z-a174-e484@lmb.univ-fcomte.fr DTSTAMP:20180116T145144Z DTSTART:20180213T124500Z DTEND:20180213T140000Z CREATED:20180116T145144Z LAST-MODIFIED:20180202T082911Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Kangwei Li DESCRIPTION:In this talk\, I will introduce our recent progress on extrapolation theory. In the linear case\, the extrapolation theory is well understood. However\, in the multilinear case\, the extrapolation was only known for product $A_p$ weights. The multilinear $A_\vec P$ weight\, which was introduced in 2009\, no extrapolation theory was known before. In this talk\, I will give a full solution to this problem. As applications\, we can improve the weighted estimates for the bilinear Hilbert transform\, the multilinear Marcinkiewicz-Zygmund inequality etc. This talk is based on joint work with José María Martell and Sheldy Ombrosi. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=484 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Markov's problem for k-absolutely monotone polynomials UID:20180202T082155Z-a174-e501@lmb.univ-fcomte.fr DTSTAMP:20180202T082155Z DTSTART:20180206T124500Z DTEND:20180206T140000Z CREATED:20180202T082155Z LAST-MODIFIED:20180206T095434Z ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Safoura Zadeh DESCRIPTION:Studying the specific gravity of a solution as a function of the percentage of the dissolved substance D. Mendeleev came across a problem that\, in mathematical term\, asks how large $|p'(x)|$ on $[-1\,1]$ can be if $p(x)$ is a quadratic polynomial with $|p(x)|\leq 1$ on $[-1\,1]$. Mendeleev showed that $|p'(x)|\leq 4$ and talked to A. A. Markov about the problem. Markov found the question fascinating and studied the problem for a real polynomial of degree at most n. He proved that $|p'(x)| \leq n^2$ on $[-1\,1]$ when $|p(x)|\leq 1$ on $[-1\,1]$. Later Markov's brother V. A. Markov studied the problem for the $m$-th derivative\, when $m0$ we can find a norm-one element $x\in X$ such that $\Vert y+\lambda x\Vert\geq (1-\varepsilon)(\Vert y\Vert+\vert \lambda\vert)$ for each $y\in Y$ and $\lambda\in\mathbb R$. Octahedral norms\, which were introduced by G. Godefroy and B. Maurey in 1987\, have received a lot of attention in last few years due to a recent characterisation of octahedral norms in terms of diameter two properties. This characterisation will be used to analyse the problem of when a Lipschitz-free Banach space has an octahedral norm. For instance\, we will prove that the $\mathcal F(M)$ has an octahedral norm whenever $M$ has any cluster point and\, consequently\, its unit ball can not have any Fr\'echet differentiability point. Joint work with J. Becerra Guerrero\, G. Lopez Perez. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=206 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:La longueur de la cycloïde allongée ou accourcie selon Blaise Pascal. UID:20160226T172236Z-a174-e196@lmb.univ-fcomte.fr DTSTAMP:20160226T172236Z DTSTART:20160329T114500Z DTEND:20160329T124500Z CREATED:20160226T172236Z LAST-MODIFIED:20160226T172236Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Claude Merker DESCRIPTION:TBA CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=196 SEQUENCE:1 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Automorphisms of Compact Quantum Groups UID:20160226T171749Z-a174-e195@lmb.univ-fcomte.fr DTSTAMP:20160226T171749Z DTSTART:20160322T124500Z DTEND:20160322T134500Z CREATED:20160226T171749Z LAST-MODIFIED:20160301T084635Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Issan Patri DESCRIPTION:In this talk\, we will discuss inner automorphisms of compact quantum groups and their connection to Wang's notion of normal subgroups. We will then study more general automorphisms and derive combinatorial conditions for these actions being ergodic\, compact\, mixing\, etc. We will end by mentioning some interesting open problems in group theory that are thrown up by this study of automorphisms. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=195 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Mathematical aspects of zero-error quantum information theory UID:20160205T094012Z-a174-e189@lmb.univ-fcomte.fr DTSTAMP:20160205T094012Z DTSTART:20160314T140000Z DTEND:20160314T150000Z CREATED:20160205T094012Z LAST-MODIFIED:20160304T094702Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Tatiana Shulman DESCRIPTION:In quantum information theory for mathematical description of quantum channels one uses the notion of completely positive maps on matrix (or operator) spaces. I will start with completely positive maps and their connection with quantum channels. After that I will focus on some mathematical problems arising in zero-error quantum information theory\, namely I will talk on various zero-error capacities of quantum channels and superactivation effect. This is a joint work with M. Shirokov. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=189 SEQUENCE:3 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:A first-order approach to boundary value problems for elliptic equations with rough complex coefficients and fractional regularity data UID:20160201T100458Z-a174-e181@lmb.univ-fcomte.fr DTSTAMP:20160201T100458Z DTSTART:20160308T124500Z DTEND:20160308T134500Z CREATED:20160201T100458Z LAST-MODIFIED:20160201T100536Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Alex Amenta DESCRIPTION:We consider the well-posedness of boundary value problems associated with elliptic equations $\div A \nabla u = 0$ with complex $t$-independent coefficients on the upper half-space\, and with boundary data in Besov—Hardy—Sobolev (BHS) spaces. A key tool in our study is a theory of BHS spaces adapted to first-order operators which are bisectorial with bounded $H^\infty$ functional calculus\, and which satisfy certain off-diagonal estimates. Within a range of exponents determined by properties of adapted BHS spaces\, we show that well-posedness of a boundary value problem is equivalent to an associated projection being an isomorphism. As an application\, for equations with real coefficients\, we extend known well-posedness results for the Regularity problem with data in Hardy and Lebesgue spaces to a large range of BHS spaces. This work is part of a doctoral thesis supervised by Pascal Auscher (Paris-Sud) and Pierre Portal (Australian National University). CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=181 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Asymptotic uniform smoothness in spaces of compact operators UID:20160205T093724Z-a174-e188@lmb.univ-fcomte.fr DTSTAMP:20160205T093724Z DTSTART:20160301T124500Z DTEND:20160301T134500Z CREATED:20160205T093724Z LAST-MODIFIED:20160226T171412Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Luis Carlos García Lirola DESCRIPTION:The modulus of asymptotic uniform smoothness of a Banach space $X$ is given by$\overline{\rho}_X(t) = \sup_{x\in S_X} \inf_{\dim(X/Y)The space $X$ is said to be is said to be asymptotically uniformly smooth (AUS for short) if $\lim_{t\to 0} t^{-1}\overline{\rho}_X(t) = 0$. Lennard proved that the space of compact operators $\mathcal{K}(\ell_2\,\ell_2)$ is an AUS space. As a consequence\, the space nuclear operators $\mathcal{N}(\ell_2\,\ell_2)$ has the weak* fixed point property. This result was extended by Besbes to $\mathcal{K}(\ell_p\, \ell_q)$ with $p^{-1} + q^{-1} = 1$. Moreover\, it was shown by Dilworth\, Kutzarova\, Randrianarivony\, Revalski and Zhivkov that the same is true for $1 < p\, q < \infty$. Among other results\, we show that $\mathcal{K}(X\,Y)$ is AUS for more general spaces $X$ and $Y$\, including Orlicz sequence spaces. This is part of an ongoing work with Matías Raja. This research is partially supported by the grants MINECO/FEDER MTM2014-57838-C2-1-P and Fundación Séeneca CARM 19368/PI/14. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=188 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT BEGIN:VEVENT SUMMARY:Intégration stochastique non commutative UID:20160129T154803Z-a174-e178@lmb.univ-fcomte.fr DTSTAMP:20160129T154803Z DTSTART:20160223T124500Z DTEND:20160223T134500Z CREATED:20160129T154803Z LAST-MODIFIED:20160201T100129Z LOCATION:316Bbis ORGANIZER;CN=PROCHAZKA Antonin[:mailto:antonin.prochazka@univ-fcomte.fr] ATTENDEE:Mathilde Perrin DESCRIPTION:Dans cet exposé\, nous nous proposons d’étudier des intégrales stochastiques de martingales non commutatives dans des algèbres de von Neumann. Ces intégrales ne pouvant pas se définir « trajectoire par trajectoire » comme dans le cas classique\, c’est par une approche d’analyse non standard que nous les construisons. Nous discuterons la convergence de ces intégrales stochastiques pour des martingales. Ces résultats de convergence s’appuient sur une décomposition de martingales en une partie à variation p nulle et une partie à variations bornées. Les résultats présentés résultent d’un travail commun avec Marius Junge et Quanhua Xu. CATEGORIES:Séminaire d'Analyse Fonctionnelle URL:https://lmb.univ-fcomte.fr/Seminaire-d-Analyse-Fonctionnelle?id_evenement=178 SEQUENCE:2 STATUS:CONFIRMED END:VEVENT END:VCALENDAR