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Journal of the Ramanujan Mathematical Society

Volume 40, Issue 2, June 2025  pp. 169–175.

Nonlinear mixed bi-skew Jordan triple *-derivations on *-algebras

Authors:  Nadeem ur Rehman, Shaheen Khan and Junaid Nisar
Author institution:Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India.

Summary:  Let 𝔄 be a unital *-algebra containing a nontrivial projection. This work establishes that every nonlinear mixed bi-skew Jordan triple *-derivation is an additive *-derivation under appropriate conditions. We also provide an application on unital prime *-algebras, standard operator algebras, and von Neumann algebras of nonlinear mixed bi-skew Jordan triple *-derivations.


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