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arXiv · 2410.02565

On $\theta$-centralizing $\theta$-generalized derivations on convolution algebras

M. Eisaei·M. J. Mehdipour·Gh. R. Moghimi
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Abstract

Let $\theta$ be an isomorphism on $L_0^{\infty} (w)^*$. In this paper, we investigate $\theta$-generalized derivations on $L_0^{\infty} (w)^*$. We show that every $\theta$-centralizing $\theta$-generalized derivation on $L_0^{\infty} (w)^*$ is a $\theta$-right centralizer. We also prove that this result is true for $\theta$-skew centralizing $\theta$-generalized derivations.

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M. Eisaei, M. J. Mehdipour, Gh. R. Moghimi. 2024-10-03. On $\theta$-centralizing $\theta$-generalized derivations on convolution algebras. https://arxiv.org/abs/2410.02565

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