Nonlinear mixed Jordan triple *-derivations on Standard operator algebras

Abstract

Let $\mathfrak{A}$ be a standard operator algebra on an infinite dimensional complex Hilbert space $\mathcal{H}$ containing identity operator $I$. Suppose that $ \delta : \mathfrak{A} \to \mathfrak{A}$ is the  nonlinear mixed Jordan triple $*$-  derivation. Then $ \delta $ is an additive $*$-derivation.