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

Ali Taghavi; Hamid Rohi; Vahid Darvish

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

Operator Algebras 2015-04-17 v1

Authors: Ali Taghavi , Hamid Rohi , Vahid Darvish

Abstract

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

Keywords

von Neumann algebra factor von Neumann algebra nonlinear *-Jordan derivation additive *-derivation operator algebra Jordan product

Cite

@article{arxiv.1504.04147,
  title  = {Non-linear $\ast$-Jordan derivations on von Neumann algebras},
  author = {Ali Taghavi and Hamid Rohi and Vahid Darvish},
  journal= {arXiv preprint arXiv:1504.04147},
  year   = {2015}
}

Comments

15 pages, Accepted in Linear and Multilinear Algebra

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