Nonlinear Mixed λ-Jordan Triple Derivation on ∗-algebras

Abstract

Let $\mathcal{A}$ be a $\ast$-algebra with unit $I$ and $P_1$ and $P_2=I-P_1$ includes a non-trivial projections, and let $\lambda \in \mathbb{C}\setminus \{0,-1\}$. In this paper, We aim to study the characterization of nonlinear mixed $\lambda$-Jordan triple derivation on $\ast$-algebras. As an application, we can also apply our results on prime $\ast$-algebras, factor von-Neumann algebras and standard operator algebras.