TY - JOUR
ID - 49229
TI - Linear Preservers of Right SGUT-Majorization on $mathbb{R}_{n}$
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Mohammadhasani, Ahmad
AU - Ilkhanizadeh Manesh, Asma
AD - Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box:
7713936417, Rafsanjan, Iran.
Y1 - 2017
PY - 2017
VL - 3
IS - 2
SP - 116
EP - 133
KW - Linear preserver
KW - g-row substochastic matrix
KW - rsgut-majorization
KW - strong linear preserver
DO - 10.22034/kjm.2017.49229
N2 - A matrix $R$ is called a $textit{generalized row substochastic}$ (g-row substochastic) if the sum of entries on every row of $R$ is less than or equal to one. For $x$, $y in mathbb{R}_{n}$, it is said that $x$ is $textit{rsgut-majorized}$ by $y$ (denoted by $ x prec_{rsgut} y$ ) if there exists an $n$-by-$n$ upper triangular g-row substochastic matrix $R$ such that $x=yR$. In the present paper, we characterize the linear preservers and strong linear preservers of rsgut-majorization on$mathbb{R}_{n}$.
UR - http://www.kjm-math.org/article_49229.html
L1 - http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
ER -