Characterization of Nonlinear Mixed Bi-Skew Lie Triple Derivations on ∗-Algebras

Abstract

This paper concentrates on examining the characterization of nonlinear mixed bi-skew Lie triple ∗- derivations within an ∗-algebra denoted by A which contains a nontrivial projection with a unit I. Additionally, we expand this investigation to applications by describing these derivations within prime ∗-algebras, von Neumann algebras, and standard operator algebras.

Keywords

• mixed bi-skew Lie triple derivation
• ∗-derivation
• ∗-algebra