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Derivations into annihilators of the ideals of Banach algebras
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| Zeitschriftentitel: | Demonstratio Mathematica |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Demonstratio Mathematica, 52, 2019, 1, S. 20-28 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
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Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi |
|---|---|
| author |
Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi |
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Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi Demonstratio Mathematica Derivations into annihilators of the ideals of Banach algebras General Mathematics |
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teymouri, akram |
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Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0004 <jats:title>Abstract</jats:title><jats:p>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.</jats:p> Derivations into annihilators of the ideals of Banach algebras Demonstratio Mathematica |
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Demonstratio Mathematica |
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Derivations into annihilators of the ideals of Banach algebras |
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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 |
General Mathematics |
| url |
http://dx.doi.org/10.1515/dema-2019-0004 |
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2019 |
| physical |
20-28 |
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<jats:title>Abstract</jats:title><jats:p>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.</jats:p> |
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| description | <jats:title>Abstract</jats:title><jats:p>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.</jats:p> |
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| imprint | Walter de Gruyter GmbH, 2019 |
| imprint_str_mv | Walter de Gruyter GmbH, 2019 |
| institution | DE-Pl11, DE-Rs1, DE-14, DE-105, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Zi4, DE-Gla1, DE-15 |
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| spelling | Teymouri, Akram Bodaghi, Abasalt Bagha, Davood Ebrahimi 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0004 <jats:title>Abstract</jats:title><jats:p>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.</jats:p> Derivations into annihilators of the ideals of Banach algebras Demonstratio Mathematica |
| spellingShingle | Teymouri, Akram, Bodaghi, Abasalt, Bagha, Davood Ebrahimi, Demonstratio Mathematica, Derivations into annihilators of the ideals of Banach algebras, General Mathematics |
| 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 |
| title_unstemmed | Derivations into annihilators of the ideals of Banach algebras |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1515/dema-2019-0004 |