CHARACTER PSEUDO-AMENABILITY OF BANACH ALGEBRAS

被引：11

作者：

Nasr-Isfahani, Rasoul ^{[1
,2
]}

Nemati, Mehdi ^{[1
,2
]}

机构：

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

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

COLLOQUIUM MATHEMATICUM | 2013年 / 132卷 / 02期

关键词：

Banach algebra; character pseudo-amenability; group algebra; mean; locally compact group; Lebesgue-Fourier algebra;

D O I：

10.4064/cm132-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a Banach algebra and let phi be a nonzero character on A. We introduce and study a new notion of amenability for A based on existence of a phi-approximate diagonal by modifying the concepts of phi-amenability and pseudo-amenability. We then apply these results to characterize phi-pseudo-amenability of various Banach algebras related to locally compact groups such as group algebras, measure algebras, certain dual algebras and Lebesgue-Fourier algebras.

引用

页码：177 / 193

页数：17

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