Generalized notions of character amenability

被引：29

作者：

Aghababa, Hasan Pourmahmood ^{[1
]}

Shi, Luo Yi ^{[2
]}

Wu, Yu Jing ^{[3
]}

机构：

[1] Univ Tabriz, Dept Math, Tabriz 5166616471, Iran

[2] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[3] Tianjin Vocat Inst, Tianjin 300410, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Banach algebras; character amenability; approximate character amenability; locally compact groups; BANACH-ALGEBRAS; SEMIGROUPS; COHOMOLOGY;

D O I：

10.1007/s10114-013-0627-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concepts of approximate character amenability (contractibility), uniform approximate character amenability (contractibility) and w*-approximate character amenability are introduced. We are concerned with the relations among the generalized concepts of character amenability for Banach algebras. We show that approximate character amenability, w*-approximate character amenability and approximate character contractibility are the same properties, as uniform approximate character amenability and character amenability, as uniform approximate character contractibility and character contractibility. The general theory for these concepts is also developed. Moreover, approximate character amenability of several concrete classes of Banach algebras related to locally compact groups and also some discrete semigroups is considered.

引用

页码：1329 / 1350

页数：22

共 30 条

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