Nonlinear Jordan triple derivable mapping on ∗-type trivial extension algebras

Abstract

The aim of the paper was to give a description of nonlinear Jordan triple derivable mappings on trivial extension algebras. We proved that every nonlinear Jordan triple derivable mapping on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum of an additive derivation and an additive antiderivation. As an application, nonlinear Jordan triple derivable mappings on triangular algebras were characterized.

Keywords

• nonlinear jordan triple derivable mapping
• additive jordan derivation
• additive derivation
• additive antiderivation