Non-linear bi-skew Jordan derivations on * -algebra
Vahid Darvish, Mojtaba Nouri, Mehran Razeghi
Let A be a prime *-algebra. In this paper, we suppose that Φ : A → A satisfies Φ(A ⋄ B) = Φ(A) ⋄ B + A ⋄ Φ(B) where A ⋄ B = A * B + B * A for all A, B ∈ A. Then, Φ is an additive *-derivation.