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arXiv · 1504.04147

Non-linear $\ast$-Jordan derivations on von Neumann algebras

Ali Taghavi·Hamid Rohi·Vahid Darvish
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Abstract

Let $\mathcal{A}$ be a factor von Neumann algebra and $ϕ$ be the $\ast$-Jordan derivation on $A$, that is, for every $A,B \in \mathcal{A}$, $ϕ(A\diamond_{1} B) = ϕ(A)\diamond_{1} B + A\diamond_{1}ϕ( B)$ where $A\diamond_{1} B = AB + BA^{\ast}$, then $ϕ$ is additive $\ast$-derivation.

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Ali Taghavi, Hamid Rohi, Vahid Darvish. 2015-04-16. Non-linear $\ast$-Jordan derivations on von Neumann algebras. https://arxiv.org/abs/1504.04147

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