Atomic positive linear maps in matrix algebras

被引:49
作者
Ha, KC [1 ]
机构
[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
关键词
D O I
10.2977/prims/1195144425
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that all of the known generalizations of the Choi maps are atomic maps.
引用
收藏
页码:591 / 599
页数:9
相关论文
共 24 条
[1]  
Ando T., 1985, SEMINAR NOTES
[2]  
[Anonymous], 1980, J OPERATOR THEORY
[3]   GENERALIZED CHOI MAPS IN 3-DIMENSIONAL MATRIX ALGEBRA [J].
CHO, SJ ;
KYE, SH ;
LEE, SG .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 171 :213-224
[4]   COMPLETELY POSITIVE LINEAR MAPS ON COMPLEX MATRICES [J].
CHOI, MD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 10 (03) :285-290
[5]   POSITIVE SEMIDEFINITE BIQUADRATIC FORMS [J].
CHOI, MD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1975, 12 (02) :95-100
[6]   EXTREMAL POSITIVE SEMIDEFINITE FORMS [J].
CHOI, MD ;
LAM, TY .
MATHEMATISCHE ANNALEN, 1977, 231 (01) :1-18
[7]  
EOM MH, IN PRESS MATH SCAND
[8]   INDECOMPOSABLE EXTREME POSITIVE LINEAR-MAPS IN MATRIX ALGEBRAS [J].
KIM, HJ ;
KYE, SH .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1994, 26 :575-581
[9]  
Kye S.-H., 1996, J KOREAN MATH SOC, V33, P669
[10]   Facial structures for the positive linear maps between matrix algebras [J].
Kye, SH .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1996, 39 (01) :74-82