asma ilkhanizadeh manesh - vali-e-asr University
Mohammad Mehdi Zahedi - Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran
Khadijeh Abolpour - Department of Mathematics Shiraz Branch, Islamic Azad University Shiraz, Iran

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.

G-row substochastic matrix, Sglt-majorization, (Strong) linear preserver