On a Notion of Biflatness Related to a Closed Ideal
This study is motivated through the so-called approximate homology results of Banach algebras arising from their closed ideals. For a Banach algebra A, the notion of approximate I-biflatness is presented, where I is a closed ideal of A. Moreover, some related results between our concept of homology...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/1501679 |
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| author | Amir Sahami Eghbal Ghaderi Mona Aj Abasalt Bodaghi |
| author_facet | Amir Sahami Eghbal Ghaderi Mona Aj Abasalt Bodaghi |
| author_sort | Amir Sahami |
| collection | DOAJ |
| description | This study is motivated through the so-called approximate homology results of Banach algebras arising from their closed ideals. For a Banach algebra A, the notion of approximate I-biflatness is presented, where I is a closed ideal of A. Moreover, some related results between our concept of homology and the known notions of amenability in the setting of Banach algebras are studied. For a locally compact group G, a necessary and sufficient condition for the measure algebra MG to be approximately L1G-biflat is found, where L1G is the correspondence group algebra of G. Additionally, some applications of (approximately) I-biflatness for the Fourier algebras, Lipschitz algebras, and matrix algebras are given. Furthermore, for validation of our concept, some examples for the differences between this new notion and the classical ones are indicated. |
| format | Article |
| id | doaj-art-d40b6b5c3fbc433a8fd006e9817dd4dd |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d40b6b5c3fbc433a8fd006e9817dd4dd2025-08-20T02:35:29ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/jofs/1501679On a Notion of Biflatness Related to a Closed IdealAmir Sahami0Eghbal Ghaderi1Mona Aj2Abasalt Bodaghi3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis study is motivated through the so-called approximate homology results of Banach algebras arising from their closed ideals. For a Banach algebra A, the notion of approximate I-biflatness is presented, where I is a closed ideal of A. Moreover, some related results between our concept of homology and the known notions of amenability in the setting of Banach algebras are studied. For a locally compact group G, a necessary and sufficient condition for the measure algebra MG to be approximately L1G-biflat is found, where L1G is the correspondence group algebra of G. Additionally, some applications of (approximately) I-biflatness for the Fourier algebras, Lipschitz algebras, and matrix algebras are given. Furthermore, for validation of our concept, some examples for the differences between this new notion and the classical ones are indicated.http://dx.doi.org/10.1155/jofs/1501679 |
| spellingShingle | Amir Sahami Eghbal Ghaderi Mona Aj Abasalt Bodaghi On a Notion of Biflatness Related to a Closed Ideal Journal of Function Spaces |
| title | On a Notion of Biflatness Related to a Closed Ideal |
| title_full | On a Notion of Biflatness Related to a Closed Ideal |
| title_fullStr | On a Notion of Biflatness Related to a Closed Ideal |
| title_full_unstemmed | On a Notion of Biflatness Related to a Closed Ideal |
| title_short | On a Notion of Biflatness Related to a Closed Ideal |
| title_sort | on a notion of biflatness related to a closed ideal |
| url | http://dx.doi.org/10.1155/jofs/1501679 |
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