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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Derivations into annihilators of the ideals of Banach algebras ; volume:52 ; number:1 ; year:2019 ; pages:20-28 ; extent:9
Demonstratio mathematica ; 52, Heft 1 (2019), 20-28 (gesamt 9)

Creator
Teymouri, Akram
Bodaghi, Abasalt
Bagha, Davood Ebrahimi

DOI
10.1515/dema-2019-0004
URN
urn:nbn:de:101:1-2411181459216.390260705354
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:35 AM CEST

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Associated

  • Teymouri, Akram
  • Bodaghi, Abasalt
  • Bagha, Davood Ebrahimi

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