ON LAU'S CONJECTURE II

被引:1
|
作者
Salame, Khadime
机构
关键词
Amenability; nonexpansive mappings; left uniformly continuous function; semigroup; weak* topology; FIXED-POINT PROPERTIES; SEMIGROUPS; MAPPINGS;
D O I
10.1090/proc/14893
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we are concerned with the study of a long-standing open problem posed by Lau in 1976. This problem is about whether the left amenability property of the space of left uniformly continuous functions of a semitopological semigroup is equivalent to the existence of a common fixed point for every jointly weak* continuous norm non-expansive action on a nonempty weak* compact convex subset of a dual Banach space. We establish in this paper a positive answer.
引用
收藏
页码:1999 / 2008
页数:10
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