Generalized Local Operators Between Function Modules
Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect to additive maps T1,...,Tn: A(X) → C(X) and t...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2021-05-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2843-en.html |
| _version_ | 1827991255300177920 |
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| author | Fereshteh Sady Masoumeh Najafi Tavani |
| author_facet | Fereshteh Sady Masoumeh Najafi Tavani |
| author_sort | Fereshteh Sady |
| collection | DOAJ |
| description | Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect to additive maps T1,...,Tn: A(X) → C(X) and then we characterize the general form of such maps for a certain class of subspaces A(X,E) of C(X,E) having A(X)-module structure. ./files/site1/files/71/9.pdf |
| first_indexed | 2024-04-10T00:47:37Z |
| format | Article |
| id | doaj.art-c66dacdf68fe467c8d7b3ec97807a1ec |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:37Z |
| publishDate | 2021-05-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-c66dacdf68fe467c8d7b3ec97807a1ec2023-03-13T19:22:36ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542021-05-017191100Generalized Local Operators Between Function ModulesFereshteh Sady0Masoumeh Najafi Tavani1 Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect to additive maps T1,...,Tn: A(X) → C(X) and then we characterize the general form of such maps for a certain class of subspaces A(X,E) of C(X,E) having A(X)-module structure. ./files/site1/files/71/9.pdfhttp://mmr.khu.ac.ir/article-1-2843-en.htmllocal operatorseparating maplipschitz functionsabsolutely continuous functionsvector-valued continuous functions |
| spellingShingle | Fereshteh Sady Masoumeh Najafi Tavani Generalized Local Operators Between Function Modules پژوهشهای ریاضی local operator separating map lipschitz functions absolutely continuous functions vector-valued continuous functions |
| title | Generalized Local Operators Between Function Modules |
| title_full | Generalized Local Operators Between Function Modules |
| title_fullStr | Generalized Local Operators Between Function Modules |
| title_full_unstemmed | Generalized Local Operators Between Function Modules |
| title_short | Generalized Local Operators Between Function Modules |
| title_sort | generalized local operators between function modules |
| topic | local operator separating map lipschitz functions absolutely continuous functions vector-valued continuous functions |
| url | http://mmr.khu.ac.ir/article-1-2843-en.html |
| work_keys_str_mv | AT fereshtehsady generalizedlocaloperatorsbetweenfunctionmodules AT masoumehnajafitavani generalizedlocaloperatorsbetweenfunctionmodules |