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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.
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页码:1999 / 2008
页数:10
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