On $θ$-centralizing $θ$-generalized derivations on convolution algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913529280331776 |
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| author | Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. |
| author_facet | Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. |
| contents | Let $θ$ be an isomorphism on $L_0^{\infty} (w)^*$. In this paper, we investigate $θ$-generalized derivations on $L_0^{\infty} (w)^*$. We show that every $θ$-centralizing $θ$-generalized derivation on $L_0^{\infty} (w)^*$ is a $θ$-right centralizer. We also prove that this result is true for $θ$-skew centralizing $θ$-generalized derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On $θ$-centralizing $θ$-generalized derivations on convolution algebras Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. Functional Analysis Let $θ$ be an isomorphism on $L_0^{\infty} (w)^*$. In this paper, we investigate $θ$-generalized derivations on $L_0^{\infty} (w)^*$. We show that every $θ$-centralizing $θ$-generalized derivation on $L_0^{\infty} (w)^*$ is a $θ$-right centralizer. We also prove that this result is true for $θ$-skew centralizing $θ$-generalized derivations. |
| title | On $θ$-centralizing $θ$-generalized derivations on convolution algebras |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.02565 |