Generalized ($\alpha,\beta, \gamma$)-derivations on Lie $C^*$-algebras

The Hyers-Ulam stability of ($\alpha,\beta, \gamma$)-derivations on Lie $C^*$-algebras is discussed by following functional inequality \begin{eqnarray*} f(ax+by)+f(ax-by)=2f(ax)+bf(y)+bf(-y), \end{eqnarray*} where $a,b$ are nonzero fixed complex numbers.

Bibliographic Details
Main Authors: Gang Lu, Yuanfeng Jin, Choonkil Park
Format: Article
Language:English
Published: AIMS Press 2020-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020445/fulltext.html