Symmetric bi-derivations on certain Banach algebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929286713180160 |
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| author | Eisaei, M. Moghimi, Gh. R. |
| author_facet | Eisaei, M. Moghimi, Gh. R. |
| contents | Let $A$ be a Banach algebra with a right identity $u$ such that $uA$ is commutative and semisimple. In this paper, we investigate symmetric bi-derivations of $A$ and detremine their range. We also study symmetric bi-derivations of $A$ with their $k$-centralizing trace. Finally, we prove every symmetric Jordan bi-derivation of $A$ is a symmetric bi-derivation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetric bi-derivations on certain Banach algebras Eisaei, M. Moghimi, Gh. R. Functional Analysis 47B47, 16W25 Let $A$ be a Banach algebra with a right identity $u$ such that $uA$ is commutative and semisimple. In this paper, we investigate symmetric bi-derivations of $A$ and detremine their range. We also study symmetric bi-derivations of $A$ with their $k$-centralizing trace. Finally, we prove every symmetric Jordan bi-derivation of $A$ is a symmetric bi-derivation. |
| title | Symmetric bi-derivations on certain Banach algebras |
| topic | Functional Analysis 47B47, 16W25 |
| url | https://arxiv.org/abs/2403.16052 |