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Approximate fixed points and B-amenable groups

2017/11/06 by Jan Pachl, Pachl, Jan
Economics, Econometrics and Finance · Mathematics · #22A20 #43A07 #46A55 #Advanced Topology and Set Theory #Economic theories and models #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1711.02171

openalex publication_date 2017/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A topological group G is B-amenable if and only if every continuous affine action of G on a bounded convex subset of a locally convex space has an approximate fixed point. Similar results hold more generally for slightly uniformly continuous semigroup actions.

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