Common fixed point properties and amenability of a class of Banach algebras

被引：15
|
作者：
Desaulniers, Shawn [1 ]
Nasr-Isfahani, Rasoul [2 ,3 ]
Nemati, Mehdi [2 ,3 ]
机构：
[1] Okanagan Coll, Dept Math & Stat, Vernon, BC V1B 2N5, Canada
[2] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 402卷 / 02期
关键词：
Lau algebra; Common fixed point property; Left amenability; Fourier algebra; Group algebra; Topological semigroup; LOCALLY COMPACT-GROUPS; DIMENSIONAL INVARIANT SUBSPACES; NONEXPANSIVE-MAPPINGS; LINEAR-OPERATORS; PROBABILITY-MEASURES; SEMIGROUPS; SPACES;
D O I：
10.1016/j.jmaa.2012.12.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a Lau algebra and let S-A be the semigroup of all positive functionals in A with norm one. We obtain some equivalent conditions for left amenability of A in terms of a common fixed point property and the Hahn-Banach property. We then apply these results for certain Lau algebras on a locally compact group G to give characterizations for amenability of G. (c) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：536 / 544
页数：9
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