Derivations into annihilators of the ideals of Banach algebras

Demonstratio mathematica

article

Akram Teymouri¹  Abasalt Bodaghi²  Davood Ebrahimi Bagha¹ 

[1] Department of Mathematics, Central Tehran Branch, Islamic Azad University;Department of Mathematics, Garmsar Branch, Islamic Azad University

关键词: amenability;    ideal amenability;    weak amenability;   

DOI  :  10.1515/dema-2019-0004

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this article, following Gorgi and Yazdanpanah, we define two new concepts of the ideal amenability for a Banach algebra A. We compare these notions with J-weak amenability and ideal amenability, where J is a closed two-sided ideal in A. We also study the hereditary properties of quotient ideal amenability for Banach algebras. Some examples show that the concepts of A/J-weak amenability and of J-weak amenability do not coincide for Banach algebras in general.

【 授权许可】

CC BY