On Linear Preservers of Two-Sided Gut-Majorization On Mn,m

被引：0

作者：

Manesh, Asma Ilkhanizadeh ^{[1
]}

Mohammadhasani, Ahmad ^{[2
]}

机构：

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

[2] Sirjan Univ Technol, Dept Math, Sirjan, Iran

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2018年 / 68卷 / 03期

关键词：

g-row stochastic matrix; gut-majorization; linear preserver; strong linear preserver; two-sided gut-majorization; MATRICES;

D O I：

10.21136/CMJ.2018.0648-16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For X, Y a M (n,m) it is said that X is gut-majorized by Y, and we write X ae(gut) Y, if there exists an n-by-n upper triangular g-row stochastic matrix R such that X = RY. Define the relation (gut) as follows. X (gut) Y if X is gut-majorized by Y and Y is gut-majorized by X. The (strong) linear preservers of ae(gut) on a"e (n) and strong linear preservers of this relation on M (n,m) have been characterized before. This paper characterizes all (strong) linear preservers and strong linear preservers of (gut) on a"e (n) and M (n,m) .

引用

页码：791 / 801

页数：11

共 13 条

[1] On Linear Preservers of Two-Sided Gut-Majorization On Mn,m
Asma Ilkhanizadeh Manesh
Ahmad Mohammadhasani
Czechoslovak Mathematical Journal, 2018, 68 : 791 - 801
[2] GUT-MAJORIZATION AND ITS LINEAR PRESERVERS
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Manesh, Asma Ilkhanizadeh
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2012, 23 : 646 - 654
[3] RIGHT GUT-MAJORIZATION ON MN, M
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ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2016, 31 : 13 - 26
[4] On Linear Preservers of lgw-Majorization on Mn,m
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BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2012, 35 (03) : 755 - 764
[5] Linear preservers of even majorization on Mn,m
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[6] LINEAR PRESERVERS OF TWO-SIDED RIGHT MATRIX MAJORIZATION ON R-n
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ADVANCES IN OPERATOR THEORY, 2018, 3 (03): : 451 - 458
[7] ON LINEAR PRESERVERS OF SGUT-MAJORIZATION ON Mn,m
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BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (02) : 470 - 481
[8] LINEAR PRESERVERS OF G-ROW AND G-COLUMN MAJORIZATION ON Mn,m
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Mohammadi, Z.
Akbarzadeh, F.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (05) : 865 - 880
[9] LINEAR PRESERVING GD-MAJORIZATION FUNCTIONS FROM Mn,m TO Mn,k
Armandnejad, A.
Heydari, H.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (01): : 215 - 224
[10] Interval two-sided (max, min)-linear equations
Plavka, Jan
39TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2021), 2021, : 393 - 398

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