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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 325卷 / 1-3期

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

页码：141 / 146

页数：6