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b-GENERALIZED DERIVATIONS ON BANACH ALGEBRAS

  • Alhazmi, Husain (Faculty of Science Department of Mathematics King Abdulaziz University)
  • Received : 2020.12.28
  • Accepted : 2021.05.06
  • Published : 2022.01.31
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Abstract

In this paper, we show, among others, that if A is a Banach algebra satisfying a functional identity involving a b-generalized derivation F on A, under some mild conditions, is of the form F(x) = ax for all x ∈ R, where a ∈ Qr, a right Martindale quotient ring of A.

Keywords

Acknowledgement

The author would like to express his sincere thanks to the learned referee for his/her valuable comments to improve the paper.

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