Hello,

The next Banach spaces webinar is on Friday January 22 at 9AM Central time. Please join us at

https://unt.zoom.us/j/83807914306

Speaker: Ramón Aliaga (Universitat Politècnica de València)

Title: The Radon-Nikodým and Schur properties in Lipschitz-free spaces

Abstract: In this talk I will sketch the proof that, for Lipschitz-free spaces $\mathcal{F}(M)$ over complete metric spaces $M$, several Banach space properties are equivalent including the Radon-Nikodým property, the Schur property, the Krein-Milman property, or not containing copies of $L_1$. These properties hold exactly when $M$ is a purely 1-unrectifiable metric space. For compact $M$, these properties are also equivalent to $\mathcal{F}(M)$ being a dual Banach space. The talk will be based on joint work with C. Gartland, C. Petitjean and A. Procházka.

For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach

Thank you, and best regards,

Bunyamin Sari