Approximate amenability modulo an ideal of Banach algebras

被引：0
|
作者：
Rahimi, Hamidreza [1 ]
Soltani, Afsaneh [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P.O. Box 13185/768, Tehran, Iran
来源：
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2016年 / 78卷 / 03期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce and study the concept of approximate amenability (contractibility) modulo an ideal of Banach algebras. Based on the obtained results, we prove that the weighted semigroup algebra l1(S, Ω) is approximately amenable modulo an ideal if and only if S is amenable and Ω is diagonally bounded where Ω is the induced weight on S/σ for the least group congruence σ on S.
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页码：233 / 240
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