Abstract
<abstract><p>In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper. As applications, we determine generalized Lie $ n $-derivations on a generalized matrix algebra and Lie $ n $-centralizers of some operator algebras.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Cited by
1 articles.
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1. Centralizer-Like Additive Maps on the Lie Structure of Banach Algebras;Bulletin of the Malaysian Mathematical Sciences Society;2023-12-27