Group Actions on Banach Spaces
Group Theory
2014-01-31 v2 Dynamical Systems
Functional Analysis
Operator Algebras
Abstract
We survey the recent developments concerning fixed point properties for group actions on Banach spaces. In the setting of Hilbert spaces such fixed point properties correspond to Kazhdan's property (T). Here we focus on the general, non-Hilbert case, we discuss the methods, examples and several applications.
Cite
@article{arxiv.1302.6609,
title = {Group Actions on Banach Spaces},
author = {Piotr W. Nowak},
journal= {arXiv preprint arXiv:1302.6609},
year = {2014}
}
Comments
To appear in the "Handbook of Group Actions", ed.: L. Ji, A. Papadopoulos, S.-T. Yau