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

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  • Abbas Zivari-Kazempour
  • Abasalt Bodaghi
  • Li Guo

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.

Suggested Citation

  • Abbas Zivari-Kazempour & Abasalt Bodaghi & Li Guo, 2022. "Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, June.
  • Handle: RePEc:hin:jjmath:3386149
    DOI: 10.1155/2022/3386149
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