On topological groups with an approximate fixed point property

Abstract

A topological group $G$ has the Approximate Fixed Point (AFP) property on a bounded convex subset $C$ of a locally convex space if every continuous affine action of $G$ on $C$ admits a net $(x_i)$, $x_i\in C$, such that $x_i-g{x}_i⟶0$ for all $g\in G$. We study the relationship of this property with amenability.

16 pages, latex 2e, the final submission to Anais da Academia Brasileira de Ciências with referee's remarks taken into account

References in corpus (1)

• Sur les espaces test pour la moyennabilité