Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

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

Volume 7, Issue 2 - Serial Number 2
October 2018
Pages 95-104

  • Receive Date 01 July 2018
  • Revise Date 09 January 2019
  • Accept Date 10 February 2019