Enveloping Dual Banach Algebras and Approximate Properties
Suppose that A is a Banach algebra and FA is its enveloping dual Banach algebra, we show that FA is approximately contractible (approximately amenable) if A has the same property. Also, we study the relation between the pseudoamenability of FA and the pseudoamenability of the second dual A∗∗ and we...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6300080 |
| _version_ | 1827009978925318144 |
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| author | N. Razi A. Pourabbas |
| author_facet | N. Razi A. Pourabbas |
| author_sort | N. Razi |
| collection | DOAJ |
| description | Suppose that A is a Banach algebra and FA is its enveloping dual Banach algebra, we show that FA is approximately contractible (approximately amenable) if A has the same property. Also, we study the relation between the pseudoamenability of FA and the pseudoamenability of the second dual A∗∗ and we also characterize approximate biflatness and approximate biprojectivity of FA associated with approximate biflatness and approximate biprojectivity of the second dual A∗∗. |
| first_indexed | 2024-04-24T08:23:20Z |
| format | Article |
| id | doaj.art-28a9a98d339d4b10be598363487a73ab |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-02-18T12:58:54Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-28a9a98d339d4b10be598363487a73ab2024-11-02T03:56:44ZengHindawi LimitedJournal of Mathematics2314-47852024-01-01202410.1155/2024/6300080Enveloping Dual Banach Algebras and Approximate PropertiesN. Razi0A. Pourabbas1Department of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceSuppose that A is a Banach algebra and FA is its enveloping dual Banach algebra, we show that FA is approximately contractible (approximately amenable) if A has the same property. Also, we study the relation between the pseudoamenability of FA and the pseudoamenability of the second dual A∗∗ and we also characterize approximate biflatness and approximate biprojectivity of FA associated with approximate biflatness and approximate biprojectivity of the second dual A∗∗.http://dx.doi.org/10.1155/2024/6300080 |
| spellingShingle | N. Razi A. Pourabbas Enveloping Dual Banach Algebras and Approximate Properties Journal of Mathematics |
| title | Enveloping Dual Banach Algebras and Approximate Properties |
| title_full | Enveloping Dual Banach Algebras and Approximate Properties |
| title_fullStr | Enveloping Dual Banach Algebras and Approximate Properties |
| title_full_unstemmed | Enveloping Dual Banach Algebras and Approximate Properties |
| title_short | Enveloping Dual Banach Algebras and Approximate Properties |
| title_sort | enveloping dual banach algebras and approximate properties |
| url | http://dx.doi.org/10.1155/2024/6300080 |
| work_keys_str_mv | AT nrazi envelopingdualbanachalgebrasandapproximateproperties AT apourabbas envelopingdualbanachalgebrasandapproximateproperties |