Derivations into annihilators of the ideals of Banach algebras

Autor: Teymouri Akram, Bodaghi Abasalt, Bagha Davood Ebrahimi
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Demonstratio Mathematica, Vol 52, Iss 1, Pp 20-28 (2019)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2019-0004
Popis: 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.
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