Structure of Certain Banach Algebra Products
Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenab...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Tehran
2014-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_51854_a161cb2d2334c928c17af7409771f40f.pdf |
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| author | G. H. Esslamzadeh A. Khotanloo B. Tabatabaie Shourijeh |
| author_facet | G. H. Esslamzadeh A. Khotanloo B. Tabatabaie Shourijeh |
| author_sort | G. H. Esslamzadeh |
| collection | DOAJ |
| description | Let and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products. |
| format | Article |
| id | doaj-art-43b9eb0afdfa417b970b5766dcf460a6 |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2014-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-43b9eb0afdfa417b970b5766dcf460a62025-08-20T03:54:07ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142014-09-0125326527151854Structure of Certain Banach Algebra ProductsG. H. Esslamzadeh0A. Khotanloo1B. Tabatabaie Shourijeh2Department of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of IranDepartment of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of IranDepartment of Mathematics, Faculty of Sciences, Shiraz University, Shiraz 71454, Islamic Republic of IranLet and be Banach algebras, , and . We define an -product on which is a strongly splitting extension of by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras. Then we consider spectrum, Arens regularity, amenability and weak amenability of these products.https://jsciences.ut.ac.ir/article_51854_a161cb2d2334c928c17af7409771f40f.pdfmodule extension-productarens regularityamenabilityweak amenability |
| spellingShingle | G. H. Esslamzadeh A. Khotanloo B. Tabatabaie Shourijeh Structure of Certain Banach Algebra Products Journal of Sciences, Islamic Republic of Iran module extension -product arens regularity amenability weak amenability |
| title | Structure of Certain Banach Algebra Products |
| title_full | Structure of Certain Banach Algebra Products |
| title_fullStr | Structure of Certain Banach Algebra Products |
| title_full_unstemmed | Structure of Certain Banach Algebra Products |
| title_short | Structure of Certain Banach Algebra Products |
| title_sort | structure of certain banach algebra products |
| topic | module extension -product arens regularity amenability weak amenability |
| url | https://jsciences.ut.ac.ir/article_51854_a161cb2d2334c928c17af7409771f40f.pdf |
| work_keys_str_mv | AT ghesslamzadeh structureofcertainbanachalgebraproducts AT akhotanloo structureofcertainbanachalgebraproducts AT btabatabaieshourijeh structureofcertainbanachalgebraproducts |