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On $θ$-centralizing $θ$-generalized derivations on convolution algebras

Year: 2024
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W4403884071
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