Nonlinear mixed skew bi-skew Jordan $n$-derivations on $\ast$-algebras

Year 2025, Early Access, 1 - 18

Asma Ali , Claus Haetinger Tooba Naz Mohd Tasleem

https://doi.org/10.24330/ieja.1823872

Abstract

Let $\mathcal{A}$ be a unital $\ast$-algebra containing nontrivial projections $P_j~~~~(j=1,2)$. In this article, we examine the nature of nonlinear mixed skew bi-skew Jordan $n$-derivations on $\mathcal{A}$. Further, we extend our main results to some special classes of $\ast$-algebras such as prime $\ast$-algebras, factor von Neumann algebras and standard operator algebras and prove that on these $\ast$-algebras every nonlinear mixed skew bi-skew Jordan $n$-derivation is an additive $\ast$-derivation.

Keywords

Mixed skew bi-skew Jordan $n$-product , $\ast$-derivation , $\ast$-algebra

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