Biderivations and Commuting Linear Maps on Topologically Simple ℒ∗‐Algebras

Abdelaziz Ben Yahya

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: Let ℒ be a topologically simple ℒ∗‐algebra of arbitrary dimension. In this paper, we introduce the notion of semi‐inner biderivation in order to prove that every continuous commuting linear mapping on ℒ is a scalar multiple of the identity mapping.

Date: 2021
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https://doi.org/10.1155/2021/9920191

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9920191

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