Derivations into annihilators of the ideals of Banach algebras

Abstract

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.

Keywords

• amenability
• ideal amenability
• weak amenability
• primary 46h25
• 46h20
• secondary 46h35