SGLT-MAJORIZATION ON Mn,m AND ITS LINEAR PRESERVERS

Document Type : Research Paper

Author

Department of Mathematics, vali-e-asr University, Rafsanjan, Iran

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