Points of continuity in Lipschitz-free spaces

Start: 11 June 2025 09:00
End: 11 June 2025 10:00
Categories: Conference , Seminar , Instituto de Matemáticas UGR

Where: Seminario Análisis Matemático, Facultad de Ciencias

IMAG Functional Analysis Seminar
Title: Points of continuity in Lipschitz-free spaces
By Yoël Perreau (University of Tartu, Estonia)
Abstract: In this talk, I will present some recent results about points of (weak-to-norm) continuity in Lipschitz-free spaces. After recalling some general facts about this notion in Banach spaces, I will give some necessary conditions that an elementary molecule has to satisfy in order to be a point of continuity in a given free space. Then I will provide a complete characterization for these elements in Lipschitz-free spaces over purely 1-unrectifiable (p1u) metric spaces. If time permits, I will also discuss some examples of point of continuity in non p1u compact metric spaces.Based on a work in progress with E. Basset, T. Prochazka and T. Veeorg.