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

Autor:	Taghavi, Ali, Rohi, Hamid, Darvish, Vahid
Rok vydání:	2015
Předmět:	Mathematics - Operator Algebras 46J10 47B48
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages, Accepted in Linear and Multilinear Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.04147 Zobrazit plný text záznamu View this record from Arxiv