Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39520131015Linear preservers of g-row and g-column majorization on
M_{n,m}865880448ENA. ArmandnejadVali-e-Asr University of RafsanjanZ. MohammadiVali-e-Asr University of RafsanjanF. AkbarzadehVali-e-Asr University of RafsanjanJournal Article20111225Let A and B be n × m matrices. The matrix B is <br />said to be g-row majorized (respectively g-column majorized) by <br />A, if every row <br />(respectively column) of B, is g-majorized by the corresponding row <br />(respectively column) of A. In this paper all kinds of g-majorization <br />are studied on Mn,m, and the possible structure of their linear preservers <br />will be found. Also all linear operators T : Mn,m ---> Mn,m <br />preserving (or strongly preserving) g-row or g-column majorization <br />will be characterized.http://bims.iranjournals.ir/article_448_1a08baec65b24a4816d12f8601a75dd7.pdf