Left $θ$-derivations on weighted convolution algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911810855108608 |
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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 a homomorphism on $L_0^\infty({\Bbb R}^+, ω)^*$. In this paper, we study left $θ$-derivations on $L_0^\infty({\Bbb R}^+, ω)^*$. We show that every left $θ$-derivation on $L_0^\infty({\Bbb R}^+, ω)^*$ is always a $θ$-derivation, and if $θ$ is isomorphism, then $L_0^\infty({\Bbb R}^+, ω)^*$ has no non-zero left $θ$-derivation. We also investigate automatic continuity, Singer-Wermer's conjecture and Posner's first theorem for left $θ-$derivations on $L_0^\infty({\Bbb R}^+, ω)^*$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Left $θ$-derivations on weighted convolution algebras Eisaei, M. Mehdipour, M. J. Moghimi, Gh. R. Functional Analysis 47B47, 46H40, 16W25 Let $θ$ be a homomorphism on $L_0^\infty({\Bbb R}^+, ω)^*$. In this paper, we study left $θ$-derivations on $L_0^\infty({\Bbb R}^+, ω)^*$. We show that every left $θ$-derivation on $L_0^\infty({\Bbb R}^+, ω)^*$ is always a $θ$-derivation, and if $θ$ is isomorphism, then $L_0^\infty({\Bbb R}^+, ω)^*$ has no non-zero left $θ$-derivation. We also investigate automatic continuity, Singer-Wermer's conjecture and Posner's first theorem for left $θ-$derivations on $L_0^\infty({\Bbb R}^+, ω)^*$. |
| title | Left $θ$-derivations on weighted convolution algebras |
| topic | Functional Analysis 47B47, 46H40, 16W25 |
| url | https://arxiv.org/abs/2403.16036 |