nonlinear $*$-lie higher derivations on factor von neumann algebras
نویسندگان
چکیده
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.
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.
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۳، صفحات ۶۵۹-۶۷۸
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