%0 Journal Article
%T Linear preservers of g-row and g-column majorization on
M_{n,m}
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Armandnejad, A.
%A Mohammadi, Z.
%A Akbarzadeh, F.
%D 2013
%\ 10/15/2013
%V 39
%N 5
%P 865-880
%! Linear preservers of g-row and g-column majorization on
M_{n,m}
%K Linear preserver
%K g-row stochastic matrices
%K rgw-majorization
%K lgw-majorization
%R
%X 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.
%U http://bims.iranjournals.ir/article_448_1a08baec65b24a4816d12f8601a75dd7.pdf