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

نویسندگان
Bhat, Raof Ahmad ID 1
Shikeh, Abbas Hussain ID 2
Siddeeque, Mohammad Aslam ID 3

1 Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India.

2 Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India.

3 Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India.

doi
10.22044/jas.2023.12763.1691
چکیده

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.

کلیدواژه‌ها
*-algebra, Mixed Jordan Triple derivation, *-derivation