Approximate Biprojectivity of ℓ1-Munn Banach Algebras
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA. In fact, we show that a ℓ1-Munn Banach algebra with the regular sandwich matrix over InvA is approximately biprojective...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2112167 |
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| author | G. Zarei A. Pourabbas M. Rostami A. Sahami |
| author_facet | G. Zarei A. Pourabbas M. Rostami A. Sahami |
| author_sort | G. Zarei |
| collection | DOAJ |
| description | In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA. In fact, we show that a ℓ1-Munn Banach algebra with the regular sandwich matrix over InvA is approximately biprojective (weak approximately biprojective) if and only if A is approximately biprojective (weak approximately biprojective), respectively. We also study approximate biprojectivity of upper triangular Banach algebra when the associated sandwich matrix with elements in InvA is invertible. Finally, we apply our results to Rees semigroup algebras. |
| format | Article |
| id | doaj-art-e96fbe7e506f4dc5802156c1f985e86f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e96fbe7e506f4dc5802156c1f985e86f2025-02-03T01:24:36ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2112167Approximate Biprojectivity of ℓ1-Munn Banach AlgebrasG. Zarei0A. Pourabbas1M. Rostami2A. Sahami3Department of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceDepartment of MathematicsIn the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA. In fact, we show that a ℓ1-Munn Banach algebra with the regular sandwich matrix over InvA is approximately biprojective (weak approximately biprojective) if and only if A is approximately biprojective (weak approximately biprojective), respectively. We also study approximate biprojectivity of upper triangular Banach algebra when the associated sandwich matrix with elements in InvA is invertible. Finally, we apply our results to Rees semigroup algebras.http://dx.doi.org/10.1155/2022/2112167 |
| spellingShingle | G. Zarei A. Pourabbas M. Rostami A. Sahami Approximate Biprojectivity of ℓ1-Munn Banach Algebras Journal of Mathematics |
| title | Approximate Biprojectivity of ℓ1-Munn Banach Algebras |
| title_full | Approximate Biprojectivity of ℓ1-Munn Banach Algebras |
| title_fullStr | Approximate Biprojectivity of ℓ1-Munn Banach Algebras |
| title_full_unstemmed | Approximate Biprojectivity of ℓ1-Munn Banach Algebras |
| title_short | Approximate Biprojectivity of ℓ1-Munn Banach Algebras |
| title_sort | approximate biprojectivity of l1 munn banach algebras |
| url | http://dx.doi.org/10.1155/2022/2112167 |
| work_keys_str_mv | AT gzarei approximatebiprojectivityofl1munnbanachalgebras AT apourabbas approximatebiprojectivityofl1munnbanachalgebras AT mrostami approximatebiprojectivityofl1munnbanachalgebras AT asahami approximatebiprojectivityofl1munnbanachalgebras |