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Mehran Razeghi

Publications and source records attributed to Mehran Razeghi.

2 recordsLinked to original sources
arXiv2019

Non-linear $\ast$-Jordan triple derivation on prime $\ast$-algebras

Let $\mathcal{A}$ be a prime $\ast$-algebra and $Φ$ preserves triple $\ast$-Jordan derivation on $\mathcal{A}$, that is, for every $A,B \in \mathcal{A}$, $$Φ(A\diamond B \diamond C)=Φ(A)\diamond B\diamond C+A\diamond Φ(B)\diamond C+A\diamond B\diamond Φ(C)$$ where $A\diamond B = AB + BA^{\ast}$ then $Φ$ is additive. Moreover, if $Φ(αI)$ is self-adjoint for $α\in\{1,i\}$ then $Φ$ is a $\ast$-derivation.

math.OA↗
arXiv2019

Non-Linear New Product $A^*B-B^*A$ Derivations on $\ast$-Algebras

Let $\mathcal{A}$ be a prime $\ast$-algebra. In this paper, we suppose that $Φ:\mathcal{A}\to\mathcal{A}$ satisfies $$Φ(A\diamond B)=Φ(A)\diamond B+A\diamondΦ(B)$$ where $A\diamond B = A^{*}B - B^{*}A$ for all $A,B\in\mathcal{A}$ .We will show that if $Φ(α\frac{I}{2})$ is self-adjoint for $α\in\{1,i\}$ then $Φ$ is additive $\ast$-derivation.

math.RA↗