%0 Journal Article %A Khalooei, Fatemeh %A Salemi, Abbas %T Linear Preservers of Majorization %J Iranian Journal of Mathematical Sciences and Informatics %V 6 %N 2 %U http://ijmsi.ir/article-1-236-en.html %R 10.7508/ijmsi.2011.02.005 %D 2011 %K Linear preservers, Row stochastic matrix, Matrix majorization., %X For vectors $X, Yin mathbb{R}^{n}$, we say $X$ is left matrix majorized by $Y$ and write $X prec_{ell} Y$ if for some row stochastic matrix $R, ~X=RY.$ Also, we write $Xsim_{ell}Y,$ when $Xprec_{ell}Yprec_{ell}X.$ A linear operator $Tcolon mathbb{R}^{p}to mathbb{R}^{n}$ is said to be a linear preserver of a given relation $prec$ if $Xprec Y$ on $mathbb{R}^{p}$ implies that $TXprec TY$ on $mathbb{R}^{n}$. In this note we study linear preservers of $sim_{ell}$ from $mathbb{R}^{p}$ to $mathbb{R}^{n}.$ In particular, we characterize all linear preservers of $sim_{ell}$ from $mathbb{R}^{2}$ to $mathbb{R}^{n},$ and also, all linear preservers of $sim_{ell}$ from $mathbb{R}^{p}$ to $mathbb{R}^{p}.$ %> http://ijmsi.ir/article-1-236-en.pdf %P 43-50 %& 43 %! %9 Research paper %L A-10-1-98 %+ %G eng %@ 1735-4463 %[ 2011