Group Actions on Banach Spaces
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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2013
- DOI:
- 10.48550/arXiv.1302.6609
- arXiv:
- arXiv:1302.6609
- Bibcode:
- 2013arXiv1302.6609N
- Keywords:
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- Mathematics - Group Theory;
- Mathematics - Dynamical Systems;
- Mathematics - Functional Analysis;
- Mathematics - Operator Algebras
- E-Print:
- To appear in the "Handbook of Group Actions", ed.: L. Ji, A. Papadopoulos, S.-T. Yau