A note on nonlinear mixed ∗-Jordan type derivations on ∗-algebras

Document Type : Original Manuscript

Authors

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

Abstract

Let S be a ∗-algebra containing the unity and a nontrivial projection. In the present paper, we show
that 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.

Keywords

References

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Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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