ESSENTIAL CHARACTER AMENABILITY OF BANACH ALGEBRAS

被引：15

作者：

Nasr-Isfahani, Rasoul ^{[1
]}

Nemati, Mehdi ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 84卷 / 03期

关键词：

Banach algebra; character amenability; essential amenability; locally compact group; GENERALIZED NOTIONS; COMPACT;

D O I：

10.1017/S0004972711002620

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a Banach algebra A and a character phi on A, we introduce and study the notion of essential phi-amenability of R. We give some examples to show that the class of essentially phi-amenable Banach algebras is larger than that of phi-amenable Banach algebras introduced by Kaniuth et al. ['On phi-amenability of Banach algebras', Math. Proc. Cambridge Philos. Soc. 144 (2008), 85-96]. Finally, we characterize the essential phi-amenability of various Banach algebras related to locally compact groups.

引用

页码：372 / 386

页数：15

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