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,...
| Published in: | Sahand Communications in Mathematical Analysis |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2025-04-01
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| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_721586_f996a8a089e76036bf6945279b0b6797.pdf |
| Summary: | 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. |
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| ISSN: | 2322-5807 2423-3900 |