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

Abdelaziz Ben Yahya and Kaiming Zhao

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, 1-6

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9920191

DOI: 10.1155/2021/9920191

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