$θ$-derivations on convolution algebras

M. Eisaei; Gh. R. Moghimi

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arXiv · 2403.18590

$θ$-derivations on convolution algebras

M. Eisaei·Gh. R. Moghimi

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Abstract

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.

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BibTeX RIS

M. Eisaei, Gh. R. Moghimi. 2024-03-27. $θ$-derivations on convolution algebras. https://arxiv.org/abs/2403.18590

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