TY - JOUR
ID - 29392
TI - Linear preservers of Miranda-Thompson majorization on MM;N
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Mohammadhasani, Ahmad
AU - Ilkhanizadeh Manesh, Asma
AD - Department of Mathematics, Sirjan University of technology, Sirjan, Iran
AD - Vali-e-Asr University of Rafsanjan
Y1 - 2017
PY - 2017
VL - 4
IS - 2
SP - 25
EP - 32
KW - Group-induced cone ordering
KW - Linear preserver
KW - Miranda-Thompson majorization
DO - 10.22072/wala.2017.61736.1113
N2 - Miranda-Thompson majorization is a group-induced cone ordering on $\mathbb{R}^{n}$ induced by the group of generalized permutation with determinants equal to 1. In this paper, we generalize Miranda-Thompson majorization on the matrices. For $X$, $Y\in M_{m,n}$, $X$ is said to be Miranda-Thompson majorized by $Y$ (denoted by $X\prec_{mt}Y$) if there exists some $D\in \rm{Conv(G)}$ such that $X=DY$. Also, we characterize linear preservers of this concept on $M_{m,n}$.
UR - http://wala.vru.ac.ir/article_29392.html
L1 - http://wala.vru.ac.ir/article_29392_451002d1ba46987bb96f23d9a78e8e6a.pdf
ER -