Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products

Abbas Zivari-Kazempour, Abasalt Bodaghi and Li Guo

Journal of Mathematics, 2022, vol. 2022, 1-6

Abstract: Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product. In other words, we show that under some conditions on elements of A, a linear map on A can be a generalized Jordan derivation.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3386149

DOI: 10.1155/2022/3386149

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