STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRAS

Abstract

Petr Novotný and Jiřĺ Hrivnák [14] investigated and generalized the concept of Lie derivations via certain complex parameters and obtained various Lie and Jordan operator algebras as well as two one-parametric sets of linear operators. Moreover, they established the structure and properties of (α, β, γ)-derivations of Lie algebras. We say a functional equation (ξ) is stable if any function g satisfying the equation (ξ) approximately is near to true solution of (ξ). In the present paper, we investigate the stability of (α, β, γ)-derivations on Lie C*-algebras associated with the following functional equation [Formula: see text]