Nonlinear mixed Jordan triple $*$-derivations on factor von Neumann algebras

Abstract

Let $\mathcal{A}$ be a factor von Neumann algebra with dim$\mathcal{A}\geq2$. In this paper, it is proved that a map $\Phi: \mathcal {A}\rightarrow \mathcal {A}$ is a nonlinear mixed Jordan triple *-derivation if and only if $\Phi$ is an additive *-derivation.