Special classes of positive and completely positive maps

被引：20
作者：
Li, CK
Woerdeman, HJ
机构：
[1] Department of Mathematics, College of William and Mary, Williamsburg
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 255卷
基金：
美国国家科学基金会;
关键词：
MATRIX ALGEBRAS; LINEAR-MAPS; EXTREME;
D O I：
10.1016/S0024-3795(96)00776-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Characterizations are given for the positive and completely positive maps on n x n complex matrices that leave invariant the diagonal entries or the kth elementary symmetric function of the diagonal entries, 1 < k less than or equal to n. In addition, it is shown that such a positive map is always decomposable if n less than or equal to 3, and this fails to hold if n > 3. The real case is also considered. (C) Elsevier Science Inc., 1997.
引用
收藏
页码：247 / 258
页数：12
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