Linear maps preserving products of positive or Hermitian matrices

被引：9
|
作者：
Fang, Li
Ji, Guoxing [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 419卷 / 2-3期
关键词：
matrix; linear map; product of two positive matrices; product of two Hermitian matrices;
D O I：
10.1016/j.laa.2006.06.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we consider linear maps on the complex n x n matrix algebra M-n preserving products of either two positive matrices, a positive matrix and a Hermitian matrix, or two Hermitian matrices. We give characterizations of all those injections. (c) 2006 Elsevier Inc. All rights reserved.
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页码：601 / 611
页数：11
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