$b$-Generalized derivations on Banach algebras
Commun. Korean Math. Soc.
Published online July 20, 2021
Husain Alhazmi
King Abdulaziz University, Jeddah, KSA
Abstract : In this paper, we show, among others, that if $A$ is a Banach algebra satisfying a functional identity involving $b$-generalized derivation $F$ on $A$, under some subsequent conditions, is of the form $F(x)=ax$ for all $x\in R$, where $a\in Q_r$, a right Martindale quotient ring of $A$.
Keywords : Banach algebra, $b$-generalized derivation, right Martindale quotient ring.
MSC numbers : 16W25, 46J10
Full-Text :


Copyright © Korean Mathematical Society.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd