# Seminario Rubio de Francia: “On the equivalence of the Radon-Nikodym and Schur properties in Lipschitz-free spaces”.- Jueves 3 de junio

Última modificación: 28/05/2021 - 09:10

Jueves, Junio 3, 2021

El jueves 3 de junio a las 12.00 h tendrá lugar la conferencia de este ciclo que impartirá Antonin Procházka (Université de Franche-Comté). Se titula " On the equivalence of the Radon-Nikodym and Schur properties in Lipschitz-free spaces".

Resumen: A Lipschitz-free space F(M) is a Banach space constructed around a given metric space M in such a way that Lipschitz maps on M canonically extend to bounded linear operators on F(M). Arguably, the free spaces are presently one of the most studied classes of Banach spaces

It turns out that many metric-geometric properties of M are reflected in Banach space-theoretic properties of F(M) and vice versa. Typically, these Banach space properties are isometric in nature. This talk is based on a recent joint work with R. Aliaga, C. Gartland and C. Petitjean where we characterize some isomorphic Banach space properties of F(M) for the first time. Namely we show that M is purely 1-unrectifiable if and only if F(M) has any (and therefore all) of the following properties: the Radon-Nikodym property, the Krein-Milman property, the Schur property, does not contain a copy of L1,...

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