SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS

A matrix R is said to be g-row substochastic if Re ≤ e. For X, Y ∈ Mn,m, it is said that X is sglt-majorized by Y , X ≺sglt Y , if there exists an n-by-n lower triangular g-row substochastic matrix R such that X = RY . This paper characterizes all (strong) linear preservers and strong linear preserv...

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Bibliographic Details
Main Author: Asma Ilkhanizadeh Manesh
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2018-10-01
Series:Journal of Mahani Mathematical Research
Subjects:
Online Access:https://jmmrc.uk.ac.ir/article_2237_936c761d80a7ebccf96242eb1420b59d.pdf