# 13 mars 2023: 1 événement

### Lundi 13 mars 12:05-13:05 - Colin Petitjean - Univrsité Gustav Eiffel

Around composition operators between spaces of Lipschitz functions

Résumé : If $f : M \to N$ is any map between metric spaces, then the composition (by $f$) operator is defined by $g \in \mathrmLip(N) \mapsto g \circ f \mathrmLip(M)$. Here $\mathrmLip(M)$ stands for a Banach space of scalar-valued Lipschitz maps defined on M. In this talk, we will focus on some classical operator properties such as : boundedness, injectivity, surjectivity, (weak) compactness, etc. We will approach the questions from a different perspective than most articles in the literature. Indeed, we will move our focus to a lower stage by studying the pre-adjoint operator. Finally, we will study the weighted versions of these composition operators with a similar approach.

En savoir plus : Séminaire d’Analyse Fonctionnelle