A short course on non linear geometry of Banach spaces

Gilles Lancien (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

In this course we show how some linear properties of Banach spaces, in particular properties related to the asymptotic structure of Banach spaces, are stable under coarse-Lipschitz embedddings or uniform homeomorphisms. We will focus on the recent use of some fundamental metric graphs or trees in the subject.

Domaines: Analyse fonctionnelle [math.FA]

Gilles Lancien. A short course on non linear geometry of Banach spaces. Topics in Functional and Harmonic Analysis, Theta Series in Advanced Mathematics, 2012, pp.77-102. ⟨hal-00825044⟩