POSITIVE MAP AS DIFFERENCE OF TWO COMPLETELY POSITIVE OR SUPER-POSITIVE MAPS

被引：2
|
作者：
Ando, Tsuyoshi [1 ]
机构：
[1] Hokkaido Univ, Sapporo, Hokkaido, Japan
来源：
ADVANCES IN OPERATOR THEORY | 2018年 / 3卷 / 01期
关键词：
Positive map; completely positive map; super-positive map; norm; tensor product;
D O I：
10.22034/aot.1702-1129
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a linear map from M-m to M-n, besides the usual positivity, there are two stronger notions, complete positivity and super-positivity. Given a positive linear map phi we study a decomposition phi = phi((1)) - phi((2)) with completely positive linear maps phi((j)) (j = 1,2). Here phi((1)) + phi((2)) is of simple form with norm small as possible. The same problem is discussed with super positivity in place of complete positivity.
引用
收藏
页码：53 / 60
页数：8
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