Numerical radius distance-preserving maps on <IMG BORDER="0" SRC="/proc/2004-132-05/S0002-9939-03-07190-9/gif-title0/img1.gif" >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Numerical radius distance-preserving maps on

Authors:	Zhaofang Bai Jinchuan Hou

Institution:	School of Science, Xi$^{\prime }$an Jiaotong University, Xi$^{\prime }$an, 710049, P. R. China; Department of Mathematics, Shanxi Teachers University, Linfen, 041004, P. R. China Jinchuan Hou ; Department of Mathematics, Shanxi Teachers University, Linfen, 041004, P. R. China; Department of Mathematics, Shanxi University, Taiyuan, 030000, P. R. China

Abstract:	Let be a complex Hilbert space, $\mathcal {B}(H)$ be the algebra of all bounded linear operators on , $\mathcal {H}(H)$ be the subset of all selfadjoint operators in $\mathcal {B}(H)$ and $\mathcal{V}=\mathcal{B}(H)$ or ${\mathcal H}(H)$ . Denote by the numerical radius of $A\in\mathcal{B}(H)$ . We characterize surjective maps $\Phi:{\mathcal V}\rightarrow{\mathcal V}$ that satisfy $w(\Phi (A)-\Phi (B))=w(A-B)$ for all $A,B\in{\mathcal V}$ without the linearity assumption.

Keywords:	Numerical radius Isometry C*-isomorphism

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