Nonlinear Jordan triple derivable mapping on $ * $-type trivial extension algebras.

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. [ABSTRACT FROM AUTHOR]