Approximate fixed points and B-amenable groups
Group Theory
2018-09-18 v2 Functional Analysis
Abstract
A topological group is B-amenable if and only if every continuous affine action of 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.
Cite
@article{arxiv.1711.02171,
title = {Approximate fixed points and B-amenable groups},
author = {Jan Pachl},
journal= {arXiv preprint arXiv:1711.02171},
year = {2018}
}
Comments
6 pages. Version 2: updated references and remark in section 6