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

For X , Y ∈ M n , m it is said that X is gut-majorized by Y , and we write X ≺ 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) linea...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Czechoslovak mathematical journal 2018-09, Vol.68 (3), p.791-801
Hauptverfasser:	Ilkhanizadeh Manesh, Asma, Mohammadhasani, Ahmad
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Convex and Discrete Geometry Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Ordinary Differential Equations
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	For X , Y ∈ M n , m it is said that X is gut-majorized by Y , and we write X ≺ 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 ≺ gut on ℝ 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 ℝ n and M n , m .
ISSN:	0011-4642 1572-9141
DOI:	10.21136/CMJ.2018.0648-16