Characterization of Lie derivations on von Neumann algebras
نویسندگان
چکیده
منابع مشابه
Nonlinear $*$-Lie higher derivations on factor von Neumann algebras
Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.
متن کاملnonlinear $*$-lie higher derivations on factor von neumann algebras
let $mathcal m$ be a factor von neumann algebra. it is shown that every nonlinear $*$-lie higher derivation$d={phi_{n}}_{ninmathbb{n}}$ on $mathcal m$ is additive. in particular, if $mathcal m$ is infinite type $i$factor, a concrete characterization of $d$ is given.
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولTriple Derivations on Von Neumann Algebras
It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its pr...
متن کاملCharacterization of Lie higher Derivations on $C^{*}$-algebras
Let $mathcal{A}$ be a $C^*$-algebra and $Z(mathcal{A})$ the center of $mathcal{A}$. A sequence ${L_{n}}_{n=0}^{infty}$ of linear mappings on $mathcal{A}$ with $L_{0}=I$, where $I$ is the identity mapping on $mathcal{A}$, is called a Lie higher derivation if $L_{n}[x,y]=sum_{i+j=n} [L_{i}x,L_{j}y]$ for all $x,y in mathcal{A}$ and all $ngeqslant0$. We show that ${L_{n}}_{n...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.08.019