Positive groups on Hn are completely positive

被引：14

作者：

Damm, T ^{[1
]}

机构：

[1] TU Braunschweig, Inst Appl Math, D-38106 Braunschweig, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 393卷

关键词：

Lyapunov operator; positive groups; cone of positive definite matrices; completely positive operators;

D O I：

10.1016/j.laa.2003.12.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that an operator generates a positive group on the real space of real or complex Hermitian matrices, if and only if it is a Lyapunov operator. In particular it follows that every group of positive operators in fact is a group of completely positive operators. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：127 / 137

页数：11

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