Low distortion embeddings of metric graphs and linear properties of Banach spaces

Abstract:

We will survey examples of metric graphs whose low distortion embeddability into a Banach space X implies various linear properties for X such as non-reflexivity, containement of $\ell_1$ or large Szlenk index. In some cases the implications can be reversed (up to a renorming).

Posted on Apr 7, 2016 in Optimization and Equilibrium, Seminars