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Generalized Notions of Character Amenability

Generalized Notions of Character Amenability
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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. 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.
作者 Hasan Pourmahmood AGHABABA Luo Yi SHI Yu Jing WU
机构地区 Department of Mathematics Department of Mathematics Tianjin Vocational Institute
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第7期1329-1350,共22页 数学学报（英文版）
基金 supported by National Natural Science Foundation of China (Grant No. 11226125)
关键词 Banach algebras character amenability approximate character amenability locally compact groups Banach algebras, character amenability, approximate character amenability, locally compact groups
分类号 O153 [理学—基础数学]
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参考文献31

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Acta Mathematica Sinica,English Series
2013年 第7期

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