Derivations into annihilators of the ideals of Banach algebras

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

Identyfikatory

DOI

10.1515/dema-2019-0004

• Języki publikacji: EN

Abstrakty

EN

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 Ј-weak amenability and ideal amenability, where Ј 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/Ј-weak amenability and of Ј-weak amenabilitydo not coincide for Banach algebras in general.

Słowa kluczowe

EN

amenability; ideal amenability; weak amenability; Banach algebra

PL

średniowalność; algebra Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 20--28
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Teymouri Akram

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

autor

Bodaghi Abasalt

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

autor

Bagha Davood Ebrahimi

• Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).