Numerical radius distance-preserving maps on B(H)

被引：24

作者：

Bai, ZF ^{[1
]}

Hou, JC

机构：

[1] Xian Jiaotong Univ, Sch Sci, Xian 710049, Peoples R China

[2] Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China

[3] Shanxi Univ, Dept Math, Taiyuan 030000, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 05期

关键词：

numerical radius; isometry; C*-isomorphism;

D O I：

10.1090/S0002-9939-03-07190-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H be a complex Hilbert space, B(H) be the algebra of all bounded linear operators on H, H(H) be the subset of all selfadjoint operators in B(H) and V = B(H) or H(H). Denote by w(A) the numerical radius of A is an element of B(H). We characterize surjective maps Phi : V --> V that satisfy w(Phi(A)-Phi(B)) = w(A<LF>- B) for all A; B is an element of V without the linearity assumption.

引用

页码：1453 / 1461

页数：9

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