A NECESSARY AND SUFFICIENT CONDITION FOR POSITIVITY OF LINEAR MAPS ON M4 CONSTRUCTED FROM PERMUTATION PAIRS

被引：2

作者：

Zhao, Haili ^{[1
]}

Hou, Jinchuan ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

OPERATORS AND MATRICES | 2015年 / 9卷 / 03期

关键词：

Matrix algebras; positive linear maps; permutations; inequalities;

D O I：

10.7153/oam-09-36

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A necessary and sufficient condition for a D-type map Phi(pi 1,pi 2) on 4x4 matrices constructed from a pair of arbitrary permutations {pi(1),pi(2)} to be positive is obtained.

引用

页码：597 / 617

页数：21

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