%0 Journal Article
%A Ilkhanizadeh Manesh, A.
%T Linear Functions Preserving Sut-Majorization on RN
%J Iranian Journal of Mathematical Sciences and Informatics
%V 11
%N 2
%U http://ijmsi.ir/article-1-549-en.html
%R 10.7508/ijmsi.2016.02.008
%D 2016
%K (Strong) linear preserver, Row substochastic matrix, Sut-Majorization.,
%X Suppose $textbf{M}_{n}$ is the vector space of all $n$-by-$n$ real matrices, and let $mathbb{R}^{n}$ be the set of all $n$-by-$1$ real vectors. A matrix $Rin textbf{M}_{n}$ is said to be $textit{row substochastic}$ if it has nonnegative entries and each row sum is at most $1$. For $x$, $y in mathbb{R}^{n}$, it is said that $x$ is $textit{sut-majorized}$ by $y$ (denoted by $ xprec_{sut} y$) if there exists an $n$-by-$n$ upper triangular row substochastic matrix $R$ such that $x=Ry$. In this note, we characterize the linear functions $T$ : $mathbb{R}^n$ $rightarrow$ $mathbb{R}^n$ preserving (resp. strongly preserving) $prec_{sut}$ with additional condition $Te_{1}neq 0$ (resp. no additional conditions).
%> http://ijmsi.ir/article-1-549-en.pdf
%P 111-118
%& 111
%!
%9 Research paper
%L A-10-690-1
%+ Department of Mathematics,Vali-e-Asr University of Rafsanjan
%G eng
%@ 1735-4463
%[ 2016