Approximate fixed points and B-amenable groups

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.

6 pages. Version 2: updated references and remark in section 6

Cited by in corpus (1)

• Skew-amenability of topological groups