Linear maps preserving regularity in C∗-algebras
نویسندگان
چکیده
منابع مشابه
On Preserving Properties of Linear Maps on $C^{*}$-algebras
Let $A$ and $B$ be two unital $C^{*}$-algebras and $varphi:A rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $varphi$ is unital, $B$ is commutative and $V(varphi(a)^{*}varphi(b))subseteq V(a^{*}b)$ for all $a,bin A$, then $varphi$ is a $*$-homomorph...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2009
ISSN: 0019-2082
DOI: 10.1215/ijm/1286212922