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arXiv · 2410.02553

Jordan left $\alpha$-centralizer on certain algebras

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

In this paper, we investigate Jordan left $\alpha$-centralizer on algebras. We show that every Jordan left $\alpha$-centralizer on an algebra with a right identity is a left $\alpha$-centralizer. We also investigate this result for Banach algebras with a bounded approximate identity. Finally, we study Jordan left $\alpha$-centralizer on group algebra $L^1(G)$.

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M. Eisaei, M. J. Mehdipour, Gh. R. Moghimi. 2024-10-03. Jordan left $\alpha$-centralizer on certain algebras. https://arxiv.org/abs/2410.02553

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