1.
An Acad Bras Cienc
; 89(1): 19-30, 2017.
Artigo
em Inglês
| MEDLINE
| ID: mdl-28423071
RESUMO
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 ∈ C , such that x i - g ⢠x i ⶠ0 for all g ∈ G . In this work, we study the relationship between this property and amenability.
2.
An. acad. bras. ciênc
; 89(1): 19-30, Jan,-Mar. 2017. tab
Artigo
em Inglês
| LILACS
| ID: biblio-886636
RESUMO
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 ∈ C, such that x i - g x i ⟶ 0 for all g ∈ G. In this work, we study the relationship between this property and amenability.