Completely rank-nonincreasing linear maps

被引:23
作者
Hadwin, D [1 ]
Larson, DR
机构
[1] Univ New Hampshire, Dept Math, Durham, NH 03824 USA
[2] Texas A&M Univ, Dept Math, College Stn, TX USA
基金
美国国家科学基金会;
关键词
rank-nonincreasing; completely rank-nonincreasing; completely bounded; joint similarity orbit;
D O I
10.1016/S0022-1236(02)00091-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give purely algebraic characterizations of the maps that are approximate compressions or skew-compressions of a unital representation of a C*-algebra. The key techniques used also relate to closures of joint similarity orbits of matrices and elementary maps on B(H). (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:210 / 227
页数:18
相关论文
共 15 条
[1]   NOTES ON EXTENSIONS OF CSTAR-ALGEBRAS [J].
ARVESON, W .
DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) :329-355
[2]  
Arveson W.B., 1976, GRAD TEXTS MATH, V39
[3]  
BARRIA J, 1979, J OPERAT THEOR, V1, P177
[4]  
Curto R.E., 1985, INTEGRAL EQU OPER TH, V8, P489
[5]  
HADWIN D, 1992, J OPERAT THEOR, V28, P51
[6]   MOST SIMILARITY ORBITS ARE STRONGLY DENSE [J].
HADWIN, DW ;
NORDGREN, EA ;
RADJAVI, H ;
ROSENTHAL, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 76 (02) :250-252
[7]   COMPLETELY POSITIVE MAPS AND APPROXIMATE EQUIVALENCE [J].
HADWIN, DW .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1987, 36 (01) :211-228
[8]  
Hadwin DW, 1998, OPER THEOR, V104, P139
[9]   NONSEPARABLE APPROXIMATE EQUIVALENCE [J].
HADWIN, DW .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 266 (01) :203-231
[10]  
HADWIN DW, RANK NONINCREASING L