Group Actions on Banach Spaces

2013/02/26 by Piotr W. Nowak, Nowak, Piotr W.
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1302.6609

openalex publication_date 2013/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On the complemented subspaces problem

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