Title of article :
Linear preservers of Miranda-Thompson majorization on M m,n
Author/Authors :
Mohammadhasani, Ahmad Department of Mathematics - Sirjan University of technology - Sirjan, Islamic Republic of Iran , Ilkhanizadeh Manesh, Asma Department of Mathematics - Vali-e-Asr University of Rafsanjan - Rafsanjan, Islamic Republic of Iran
Abstract :
Miranda-Thompson majorization is a group-induced cone ordering
on Rn 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 2 Mm;n, X is said to be Miranda-Thompson majorized by Y
(denoted by X ≺mt Y) if there exists some D 2 Conv(G) such
that X = DY. Also, we characterize linear preservers of this
concept on Mm;n.
Keywords :
Group -induced Cone ordering , Linear preserver , Majorization
Journal title :
Astroparticle Physics
