Nonlinear mixed Jordan triple *-derivations on factors

Abstract

Let A be a factor with dimA ≥ 2. For A, B ∈ A, define by [A, B] * = AB − BA * and A • B = AB + BA * the new products of A and B. In this paper, it is proved that a map Φ :only if Φ is an additive * −derivation.