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
Pages
8
From page
25
To page
32
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
Serial Year
2017
Record number
2450840
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