学术探索
学术期刊
新闻热点
数据分析
智能评审

ON BIRKHOFF THEOREM FOR DOUBLY STOCHASTIC COMPLETELY POSITIVE MAPS OF MATRIX ALGEBRAS

被引：138
作者：
LANDAU, LJ
STREATER, RF
机构：
[1] Mathematics Department King's College University of London Strand, London
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 193卷
关键词：
D O I：
10.1016/0024-3795(93)90274-R
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A study is made of the extreme points of the convex set of doubly stochastic completely positive maps of the matrix algebra M(n). If n = 2 the extreme points are precisely the unitary maps, but if n greater-than-or-equal-to 3 there are nonunitary extreme points, examples of which are exhibited. A tilde operation is defined on the linear maps of M(n) and used to give an elementary derivation of a result of Kummerer and Maassen.
引用
收藏
页码：107 / 127
页数：21
相关论文
共 19 条
[11]   GENERAL STATE CHANGES IN QUANTUM THEORY [J].
KRAUS, K .
ANNALS OF PHYSICS, 1971, 64 (02) :311-&
[12]  
Kraus K., 1983, STATES EFFECTS OPERA
[13]   THE ESSENTIALLY COMMUTATIVE DILATIONS OF DYNAMIC SEMIGROUPS ON MN [J].
KUMMERER, B ;
MAASSEN, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 109 (01) :1-22
[14]  
Lance C., 1973, Journal of Functional Analysis, V12, P157, DOI 10.1016/0022-1236(73)90021-9
[15]   GENERATORS OF QUANTUM DYNAMICAL SEMIGROUPS [J].
LINDBLAD, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 48 (02) :119-130
[16]  
Parravicini G., 1977, Reports on Mathematical Physics, V12, P423, DOI 10.1016/0034-4877(77)90037-4
[17]   COMPLETELY POSITIVE AND HERMITIAN-PRESERVING LINEAR TRANSFORMATIONS [J].
POLUIKIS, JA ;
HILL, RD .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1981, 35 (FEB) :1-10
[18]  
Schatten R, 1950, THEORY CROSS SPACES
[19]  
Tregub S. L., 1986, Soviet Mathematics, V30, P105
12