Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

Abstract

This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.

Cited by in corpus (4)

• Random groups, random graphs and eigenvalues of p-Laplacians
• Banach space actions and $L^2$-spectral gap
• Group Actions on Banach Spaces
• Garland's method with Banach coefficients