Maps leaving functional values of operator products invariant

被引：36

作者：

Cui, Hanlian ^{[1
]}

Hou, Jinchuan ^{[2
,3
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

[3] Shanxi Normal Univ, Dept Math, Linfen 041004, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 07期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

standard operator algebras; maps on algebras; k-numerical radius; Ky Fan k-norm; Schatten p-norm;

D O I：

10.1016/j.laa.2007.10.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a standard operator algebra on a complex Hilbert space H of dimension greater than 2. By invariants of certain functional values of operator products, we characterize some surjective maps on A. Furthermore, several kinds of general preserver problems on standard operator algebras are solved when we take respectively the functional as, for example, k-numerical radius (k >= 1), operator norm, Ky Fan k-norm, Schatten p-norm (1 <= p < infinity), and so on. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1649 / 1663

页数：15

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