Work

On topological groups with an approximate fixed point property

Year: 2014

Type: article

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 $x_{i}-gx_{i}\longrightarrow 0$ for all $g\in G$. We study the relationship of this property with amenability.

Source: LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)

DOI: 10.48550/arxiv.1410.8370

Authors: Barroso, Cleon S., Mbombo, Brice R., Pestov, Vladimir G.

Institutions: Universidade Federal do Ceará, Universidade de São Paulo, University of Ottawa, Universidade Federal de Santa Catarina

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Ciência sem Fronteiras

Awards: G2559288527, G842042172