Derivations into annihilators of the ideals of Banach algebras-Reference-Cited by-同舟云学术

Derivations into annihilators of the ideals of Banach algebras

Published:2019-01-01 Issue:1 Volume:52 Page:20-28
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Teymouri Akram¹,Bodaghi Abasalt²,Bagha Davood Ebrahimi¹

Affiliation:

1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran , Iran

2. Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar , Iran

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0004/pdf

Reference22 articles.

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3. [3] Gorgi M. E., Yazdanpanah T., Derivations into duals of ideals of Banach algebras, Proc. Indian Acad. Sci. (Math. Sci.), 2004, 114(4), 399-408

4. [4] Minapoor A., Bodaghi A., Ebrahimi Bagha D., Ideal Connes-amenability of dual Banach algebras, Mediterr. J. Math., 2017, 14:174. https://doi.org/10.1007/s00009-017-0970-2

5. [5] Haagerup U., Laustsen N. J., Weak amenability of C*-algebras and a theorem of Goldstein, In: Albrecht E., Mathieu M. (Eds.), Banach algebras ’97, Walter de Gruyter, Berlin, 1998, 223-244

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