Maps preserving numerical ranges of operator products

被引：49
|
作者：
Hou, JC [1 ]
Di, QH
机构：
[1] Shanxi Teachers Univ, Dept Math, Linfen 041004, Peoples R China
[2] Shanxi Univ, Dept Math, Taiyuan 030000, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期
关键词：
Hilbert spaces; numerical ranges; Jordan triple-products; Jordan isomorphisms;
D O I：
10.1090/S0002-9939-05-08101-3
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) the algebra of all bounded linear operators on H and S-a( H) the real linear space of all self-adjoint operators on H. We characterize the surjective maps on B( H) or S-a( H) that preserve the numerical ranges of products or Jordan triple-products of operators.
引用
收藏
页码：1435 / 1446
页数：12
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