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.
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页码：19 / 30
页数：12
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