Rank properties of exposed positive maps

被引：13

作者：

Marciniak, Marcin ^{[1
]}

机构：

[1] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 07期

关键词：

positive maps; extremal; exposed; completely positive; LINEAR-MAPS;

D O I：

10.1080/03081087.2012.721360

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K and N be finite dimensional Hilbert spaces and let 3 denote the cone of all positive linear maps acting from 3(C) into 3(R). We show that each map of the form phi(X)= AXA* or phi(X) = AX(T)A* is an exposed point of beta. It is done by careful analysis of rank properties of these maps.

引用

页码：970 / 975

页数：6

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