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articleNo Access
Some results for a class of extended centralizers on $C^{*}$ $C^{*}$ -algebras
Discrete Mathematics, Algorithms and Applications31 Aug 2020
Preview Abstract
The aim of this paper is to introduce a new class of generalized centralizers on $C^{*}$ $C^{*}$ -algebras which is termed as extended $(k_{1}, k_{2})$ $(k_{1}, k_{2})$ -centralizer. We study different properties of this class of centralizers. Moreover, we define a class of $C^{*}$ $C^{*}$ -algebras which contains the prime $C^{*}$ $C^{*}$ -algebras as a subclass. Different properties of extended centralizers with respect to this class of $C^{*}$ $C^{*}$ -algebras are discussed with suitable examples.