Maps preserving numerical radius distance on
${\rm C}^*$-algebras
Studia Mathematica, Tome 162 (2004) no. 2, pp. 97-104
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We characterize surjective nonlinear maps ${\mit \Phi } $ between unital C*-algebras ${\mathcal A}$ and ${\mathcal B}$ that satisfy $w({\mit \Phi } (A)-{\mit \Phi } (B))=w(A-B)$ for all $A,B\in {\mathcal A}$ under a mild condition that ${\mit \Phi } (I)-{\mit \Phi } (0)$ belongs to the center of ${\mathcal B}$, where $w(A)$ is the numerical radius of $A$ and $I$ is the unit of ${\mathcal A}$.
Keywords:
characterize surjective nonlinear maps mit phi between unital c* algebras mathcal mathcal satisfy mit phi mit phi a b mathcal under mild condition mit phi mit phi belongs center mathcal where numerical radius unit mathcal
Affiliations des auteurs :
Zhaofang Bai 1 ; Jinchuan Hou 2 ; Zongben Xu 3
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title = {Maps preserving numerical radius distance on
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AU - Zhaofang Bai
AU - Jinchuan Hou
AU - Zongben Xu
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${\rm C}^*$-algebras
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${\rm C}^*$-algebras
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Zhaofang Bai; Jinchuan Hou; Zongben Xu. Maps preserving numerical radius distance on
${\rm C}^*$-algebras. Studia Mathematica, Tome 162 (2004) no. 2, pp. 97-104. doi: 10.4064/sm162-2-1
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