ON LINEAR PRESERVERS OF SGUT-MAJORIZATION ON Mn,m

被引：0

作者：

Manesh, A. Ilkhanizadeh ^{[1
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, POB 7713936417, Rafsanjan, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 02期

关键词：

Linear preserver; strong linear preserver; g-row substochastic matrices; sgut-majorization; DOUBLY STOCHASTIC MATRICES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M-n,M-m be the set of n-by-m matrices with entries in the field of real numbers. A matrix R in M-n = M-n,M-n is a generalized row substochastic matrix (g-row substochastic, for short) if Re <= e, where e = (1, 1,...,1)(t). For X, Y is an element of M-n,M-m, X is said to be sgut-majorized by Y (denoted by X <(sgut) Y) if there exists an n-by-n upper triangular g-row substochastic matrix R such that X = RY. This paper characterizes all linear preservers and strong linear preservers of <(sgut) on R-n and M-n,M-m respectively.

引用

页码：470 / 481

页数：12

共 12 条

[1] MAJORIZATION, DOUBLY STOCHASTIC MATRICES, AND COMPARISON OF EIGENVALUES
ANDO, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 118 : 163 - 248
[2] Armandnejad A, 2012, B MALAYS MATH SCI SO, V35, P755
[3] Armandnejad A, 2009, B IRAN MATH SOC, V35, P69
[4] ARMANDNEJAD A, 2006, B IRAN MATH SOC, V32, P31
[5] Generalized doubly stochastic matrices and linear preservers
Chiang, H
Li, CK
[J]. LINEAR & MULTILINEAR ALGEBRA, 2005, 53 (01) : 1 - 11
[6] On linear preservers of (right) matrix majorization
Hasani, A. M.
Radjabalipour, M.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (2-3) : 255 - 261
[7] Hasani AM, 2006, ELECTRON J LINEAR AL, V15, P260
[8] Ilkhanizadeh Manesh A., ELECT J LIN IN PRESS
[9] Ilkhanizadeh Manesh A., IRAN J MATH SC UNPUB
[10] Ilkhanizadeh Manesh A., 2014, OPER THEORY ADV APPL, V242, P253

← 1 2 →