Linear operators preserving directional majorization

被引:27
|
作者
Li, CK
Poon, E
机构
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
[2] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada
基金
美国国家科学基金会;
关键词
linear operator; directional majorization; multivariate majorization;
D O I
10.1016/S0024-3795(00)00328-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A characterization of linear operators preserving directional majorization is given. The result extends a theorem of T. Ando [Linear Algebra Appl. 118 (1989) 163], and the proof also gives the characterization of linear operators preserving multivariate: majorization recently obtained by Beasley and Lee. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:141 / 146
页数:6
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