On the superstability of a special derivation
Subject Areas : Functional analysis
M. Hassani
1
(Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad 91735, Iran)
E. Keyhani
2
(Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad 91735, Iran)
Keywords: Stable, Superstable, Multiplicative Derivations, Ring $(alpha, beta)$, Linear $(alpha, beta)$-derivations, Multiplicative $(alpha, beta)$-derivations,
Abstract :
The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(\alpha,\beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(\alpha,\beta)$-derivation.