Seminario Rubio de Francia: “On Dunford-Pettis and Radon-Nikodym linearizations of Lipschitz maps”.- Jueves 27 de febrero
El jueves 27 de febrero de 2025 a las 12:10 h tendrá lugar una nueva sesión del ciclo de Seminarios Rubio de Francia de la Universidad de Zaragoza del curso 2024/2025 con Antonín Procházka (Université de Franche-Comté, Besançon, Francia). Impartirá el seminario de título “On Dunford-Pettis and Radon-Nikodym linearizations of Lipschitz maps”.
La charla tendrá lugar en el Seminario Rubio de Francia (edificio de Matemáticas, primera planta) de la Facultad de Ciencias, Universidad de Zaragoza.
Resumen:
Let M,N be pointed metric spaces and F(M), F(N) their corresponding Lipschitz-free spaces. It is well known that every Lipschitz map f : M → N such that f(0) = 0 admits the free
linearization ˆf : F(M) → F(N), also called the Lipschitz operator associated to f. For example, it can be realized as the pre-adjoint of the composition operator Cf : Lip0(N) → Lip0(M).
In this talk, based on a joint work with Gonzalo Flores, Mingu Jung, Gilles Lancien, Colin Petitjean and Andres Quilis, we will characterize those f for which ˆ f is Dunford-Pettis as well
as those f for which ˆ f is Radon-Nikodým. It turns out that the corresponding metric property for f is the same for both linear properties. This generalizes the recent result that in Lipschitz
free spaces the Radon-Nikodým property and the Schur property coincide.
Toda la información en: http://anamat.unizar.es/seminario.htm
