Nonlinear ξ-Bi-Skew Lie Triple Derivations on ∗-Algebras

Let A be a unital associative ∗-algebra over the complex field C containing a nontrivial projection and ξ be a nonzero scalar. In this paper, we give a characterization of ξ-bi-skew Lie triple derivation on A. As applications, we apply the above result to prime ∗-algebras, factor von Neumann algebras and standard operator algebras.