Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS

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13 novembre 2018: 1 événement

  • Séminaire d’Analyse Fonctionnelle

    Mardi 13 novembre 13:45-14:45 - Thomas Scheckter - UNSW, Sydney

    A Noncommutative Generalisation of a Problem of Steinhaus

    Résumé : Responding to work of Révész on a problem of Steinhaus, Komlós showed that every
    integrable sequence of random variables contains a subsequence which “satisfies
    the strong law of large numbers”, such that the sequence of Cesàro averages
    converges almost everywhere. We solve an open problem of Randrianantoanina by
    extending this result to arbitrary semifinite von Neumann algebras. In this
    talk we discuss the history of the problem, what it means to study almost
    everywhere convergence in the noncommutative setting, the technical obstructions
    of the noncommutative setting, and several related results.

    Lieu : 316Bbis

    En savoir plus : Séminaire d’Analyse Fonctionnelle

13 novembre 2018: 1 événement