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arxiv: 1302.6609 · v2 · pith:VQ6MKVQ4new · submitted 2013-02-26 · 🧮 math.GR · math.DS· math.FA· math.OA

Group Actions on Banach Spaces

classification 🧮 math.GR math.DSmath.FAmath.OA
keywords spacesactionsbanachfixedgrouppointpropertiesapplications
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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.

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