Commun. Korean Math. Soc. 2022; 37(1): 57-64
Online first article July 20, 2021 Printed January 31, 2022
https://doi.org/10.4134/CKMS.c200480
Copyright © The Korean Mathematical Society.
Husain Alhazmi
King Abdulaziz University
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 $xin R$, where $ain Q_r$, a right Martindale quotient ring of $A$.
Keywords: Banach algebra, $b$-generalized derivation, right Martindale quotient ring
MSC numbers: 16W25, 46J10
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