Jordan and Local Multipliers on Certain Banach Algebras are Multipliers
We prove that every continuous Jordan multiplier $T$ from a $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some identities involving zero products. Additionally,...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2025-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_721586_f996a8a089e76036bf6945279b0b6797.pdf |
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| author | Abbas Zivari-Kazempour Ahmad Minapoor |
| author_facet | Abbas Zivari-Kazempour Ahmad Minapoor |
| author_sort | Abbas Zivari-Kazempour |
| collection | DOAJ |
| description | We prove that every continuous Jordan multiplier $T$ from a $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some identities involving zero products. Additionally, we show that each continuous local multiplier from a Banach algebra $A$ with property $(\mathbb{B})$ into a Banach $A$-bimodule $X$ is a multiplier. |
| format | Article |
| id | doaj-art-10febc3aa7b446c49f8a7e93811fbc72 |
| institution | OA Journals |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-10febc3aa7b446c49f8a7e93811fbc722025-08-20T02:27:07ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-04-0122224726010.22130/scma.2025.2042611.1915721586Jordan and Local Multipliers on Certain Banach Algebras are MultipliersAbbas Zivari-Kazempour0Ahmad Minapoor1Partment of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran.Partment of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran.We prove that every continuous Jordan multiplier $T$ from a $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some identities involving zero products. Additionally, we show that each continuous local multiplier from a Banach algebra $A$ with property $(\mathbb{B})$ into a Banach $A$-bimodule $X$ is a multiplier.https://scma.maragheh.ac.ir/article_721586_f996a8a089e76036bf6945279b0b6797.pdfmultiplierjordan multiplierlocal multipliergroup algebrastandard operator algebra |
| spellingShingle | Abbas Zivari-Kazempour Ahmad Minapoor Jordan and Local Multipliers on Certain Banach Algebras are Multipliers Sahand Communications in Mathematical Analysis multiplier jordan multiplier local multiplier group algebra standard operator algebra |
| title | Jordan and Local Multipliers on Certain Banach Algebras are Multipliers |
| title_full | Jordan and Local Multipliers on Certain Banach Algebras are Multipliers |
| title_fullStr | Jordan and Local Multipliers on Certain Banach Algebras are Multipliers |
| title_full_unstemmed | Jordan and Local Multipliers on Certain Banach Algebras are Multipliers |
| title_short | Jordan and Local Multipliers on Certain Banach Algebras are Multipliers |
| title_sort | jordan and local multipliers on certain banach algebras are multipliers |
| topic | multiplier jordan multiplier local multiplier group algebra standard operator algebra |
| url | https://scma.maragheh.ac.ir/article_721586_f996a8a089e76036bf6945279b0b6797.pdf |
| work_keys_str_mv | AT abbaszivarikazempour jordanandlocalmultipliersoncertainbanachalgebrasaremultipliers AT ahmadminapoor jordanandlocalmultipliersoncertainbanachalgebrasaremultipliers |