Title of article :
SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS
Author/Authors :
ilkhanizadeh manesh ، asma - VALI-E-ASR UNIVERSITY OF RAFSANJAN
Abstract :
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 preservers of ≺sglt on Rn and Mn,m, respectively.
Keywords :
G , row substochastic matrix , Sglt , majorization , (Strong) linear preserver
Journal title :
journal of mahani mathematical research center
Journal title :
journal of mahani mathematical research center
