LINEAR MAPS PRESERVING OR STRONGLY PRESERVING MAJORIZATION ON MATRICES

被引：0
|
作者：
Khalooei, F. [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2015年 / 41卷 / 07期
关键词：
Linear preserver; row substochastic matrix; matrix majorization;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For A, B is an element of M-nm, we say that A is left matrix majorized (resp. left matrix submajorized) by B and write A <(l) B (resp. A <(ls) B), if A = RB for some n x n row stochastic (resp. row substochastic) matrix R. Moreover, we define the relation similar to(ls) on M-nm as follows: A similar to(ls) B if A <(ls) B <(ls) A. This paper characterizes all linear preservers and all linear strong preservers of <(ls) and similar to(ls) from M-nm to M-nm.
引用
收藏
页码：77 / 83
页数：7
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