Derivations into annihilators of the ideals of Banach algebras
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 am...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-01-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2019-0004 |
| _version_ | 1829134213736038400 |
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| author | Teymouri Akram Bodaghi Abasalt Bagha Davood Ebrahimi |
| author_facet | Teymouri Akram Bodaghi Abasalt Bagha Davood Ebrahimi |
| author_sort | Teymouri Akram |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T17:56:51Z |
| format | Article |
| id | doaj.art-0a2db4eed45946c7bad180ef27ff4c31 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-14T17:56:51Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-0a2db4eed45946c7bad180ef27ff4c312022-12-21T22:52:32ZengDe GruyterDemonstratio Mathematica2391-46612019-01-01521202810.1515/dema-2019-0004dema-2019-0004Derivations into annihilators of the ideals of Banach algebrasTeymouri Akram0Bodaghi Abasalt1Bagha Davood Ebrahimi2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, IranDepartment of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IranIn 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.https://doi.org/10.1515/dema-2019-0004amenabilityideal amenabilityweak amenabilityprimary 46h2546h20secondary 46h35 |
| spellingShingle | Teymouri Akram Bodaghi Abasalt Bagha Davood Ebrahimi Derivations into annihilators of the ideals of Banach algebras Demonstratio Mathematica amenability ideal amenability weak amenability primary 46h25 46h20 secondary 46h35 |
| title | Derivations into annihilators of the ideals of Banach algebras |
| title_full | Derivations into annihilators of the ideals of Banach algebras |
| title_fullStr | Derivations into annihilators of the ideals of Banach algebras |
| title_full_unstemmed | Derivations into annihilators of the ideals of Banach algebras |
| title_short | Derivations into annihilators of the ideals of Banach algebras |
| title_sort | derivations into annihilators of the ideals of banach algebras |
| topic | amenability ideal amenability weak amenability primary 46h25 46h20 secondary 46h35 |
| url | https://doi.org/10.1515/dema-2019-0004 |
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