Linear preservers of g-row and g-column majorization on M_{n,m}

Document Type : Research Paper


Vali-e-Asr University of Rafsanjan


Let A and B be n × m matrices. The matrix B is
said to be g-row majorized (respectively g-column majorized) by
A, if every row
(respectively column) of B, is g-majorized by the corresponding row
(respectively column) of A. In this paper all kinds of g-majorization
are studied on Mn,m, and the possible structure of their linear preservers
will be found. Also all linear operators T : Mn,m ---> Mn,m
preserving (or strongly preserving) g-row or g-column majorization
will be characterized.


Main Subjects