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

页码：1437 / 1449

页数：13

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