On topological groups with an approximate fixed point property

被引：1

作者：

Barroso, Cleon S. ^{[1
]}

Mbombo, Brice R. ^{[2
,4
]}

Pestov, Vladimir G. ^{[3
,4
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, Campus Pici,Bl 914, BR-60455760 Fortaleza, Ceara, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil

[3] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

[4] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2017年 / 89卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Amenable groups; approximate fixed point property; Folner property; Reiter property; VECTOR-SPACES; THEOREMS;

D O I：

10.1590/0001-3765201720150382

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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) is an element of C, such that x(i) - gx(i) -> 0 for all g is an element of G. In this work, we study the relationship between this property and amenability.

引用

页码：19 / 30

页数：12

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