Linear preservers of even majorization on Mn,m

被引：13
作者：
Soleymani, M. [1 ]
Armandnejad, A. [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran
来源：
LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 11期
关键词：
even doubly stochastic matrix; even majorization; linear preserver; MATRICES;
D O I：
10.1080/03081087.2013.832487
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M-n,M-m be the algebra of all n x m real matrices. An n x n real matrix A is even doubly stochastic if it is a convex combination of even permutation matrices. For A, B is an element of M-n,M-m, A is said to be even majorized by B ( written as A <(e) B), if there exists an even doubly stochastic matrix D such that A = DB. In this paper, the concept of even majorization is investigated and then the linear preservers and strong linear preservers of this concept are characterized on M-n,M-m.
引用
收藏
页码：1437 / 1449
页数：13
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