Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product. In other words, we show that under some conditions on elements of A, a linear map...
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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/10.1155/2022/3386149 |
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| author | Abbas Zivari-Kazempour Abasalt Bodaghi |
| author_facet | Abbas Zivari-Kazempour Abasalt Bodaghi |
| author_sort | Abbas Zivari-Kazempour |
| collection | DOAJ |
| description | Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product. In other words, we show that under some conditions on elements of A, a linear map on A can be a generalized Jordan derivation. |
| format | Article |
| id | doaj-art-31cb14fd776442948678eee77cf596eb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-31cb14fd776442948678eee77cf596eb2025-02-03T05:50:00ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/3386149Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero ProductsAbbas Zivari-Kazempour0Abasalt Bodaghi1Department of MathematicsDepartment of MathematicsLet A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product. In other words, we show that under some conditions on elements of A, a linear map on A can be a generalized Jordan derivation.http://dx.doi.org/10.1155/2022/3386149 |
| spellingShingle | Abbas Zivari-Kazempour Abasalt Bodaghi Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products Journal of Mathematics |
| title | Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products |
| title_full | Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products |
| title_fullStr | Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products |
| title_full_unstemmed | Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products |
| title_short | Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products |
| title_sort | generalized derivations and generalized jordan derivations on c∗ algebras through zero products |
| url | http://dx.doi.org/10.1155/2022/3386149 |
| work_keys_str_mv | AT abbaszivarikazempour generalizedderivationsandgeneralizedjordanderivationsoncalgebrasthroughzeroproducts AT abasaltbodaghi generalizedderivationsandgeneralizedjordanderivationsoncalgebrasthroughzeroproducts |