TY - JOUR
ID - 448
TI - Linear preservers of g-row and g-column majorization on
M_{n,m}
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Armandnejad, A.
AU - Mohammadi, Z.
AU - Akbarzadeh, F.
AD - Vali-e-Asr University of Rafsanjan
Y1 - 2013
PY - 2013
VL - 39
IS - 5
SP - 865
EP - 880
KW - Linear preserver
KW - g-row stochastic matrices
KW - rgw-majorization
KW - lgw-majorization
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_448.html
L1 - http://bims.iranjournals.ir/article_448_1a08baec65b24a4816d12f8601a75dd7.pdf
ER -