A NOTE ON NONLINEAR MIXED ∗-JORDAN TYPE DERIVATIONS ON ∗-ALGEBRAS

Let S be a ∗-algebra containing the unity and a nontrivial projection. In the present paper, we showthat under certain restrictions if a map Ψ : S → S satisfies Ψ(L ⋄ N • D) = Ψ(L) ⋄ N • D + L ⋄Ψ(N) • D + L ⋄ N • Ψ(D) for all L, N, D ∈ S, then Ψ is an additive ∗-derivation.

کلیدواژه ها:

*-algebra ، Mixed Jordan Triple derivation ، *-derivation