$θ$-derivations on convolution algebras
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910386749440000 |
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| author | Eisaei, M. Moghimi, Gh. R. |
| author_facet | Eisaei, M. Moghimi, Gh. R. |
| contents | In this paper, we investigate $θ$-derivations on Banach algebra $ L_0^{\infty} (w)^*$. First, we study the range of them and prove the Singer-Wermer conjucture. We also give a characterization of the space of all $θ$-derivations on $ L_0^{\infty} (w)^*$. Then, we prove automatic continuity and Posner's theorems for $θ$-derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18590 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $θ$-derivations on convolution algebras Eisaei, M. Moghimi, Gh. R. Functional Analysis 47B47, 46H40, 16W25 In this paper, we investigate $θ$-derivations on Banach algebra $ L_0^{\infty} (w)^*$. First, we study the range of them and prove the Singer-Wermer conjucture. We also give a characterization of the space of all $θ$-derivations on $ L_0^{\infty} (w)^*$. Then, we prove automatic continuity and Posner's theorems for $θ$-derivations. |
| title | $θ$-derivations on convolution algebras |
| topic | Functional Analysis 47B47, 46H40, 16W25 |
| url | https://arxiv.org/abs/2403.18590 |