APPROXIMATE AMENABILITY MODULO AN IDEAL OF BANACH ALGEBRAS

被引：0
|
作者：
Rahimi, Hamidreza [1 ]
Soltani, Afsaneh [1 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Fac Sci, POB 13185-768, Tehran, Iran
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2016年 / 78卷 / 03期
关键词：
Amenability modulo an ideal; Approximate amenability modulo an ideal; Semigroup algebra; group congruence; GENERALIZED NOTIONS; SEMIGROUPS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 l(1) (S, omega) is approximately amenable modulo an ideal if and only if S is amenable and omega(sigma) is diagonally bounded where omega(sigma) is the induced weight on S/sigma for the least group congruence sigma on S.
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页码：234 / 241
页数：8
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