@article { author = {Ilkhanizadeh Manesh, A.}, title = {On linear preservers of sgut-majorization on $\textbf{M}_{n,m}$}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {42}, number = {2}, pages = {471-481}, year = {2016}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎Let $\textbf{M}_{n,m}$ be the set of $n$-by-$m$‎ ‎matrices with entries in the field of real numbers‎. ‎A matrix $R$ in $\textbf{M}_{n}=\textbf{M}_{n,n}$ is a generalized row substochastic matrix (g-row substochastic‎, ‎for short) if $Re\leq e$‎, ‎where $e=(1,1,\ldots,1)^t$‎. ‎For $X,$ $Y \in \textbf{M}_{n,m}$‎, ‎$X$ is said to be sgut-majorized by $Y$ (denoted by $X‎ ‎\prec_{sgut} Y$) if there exists an $n$-by-$n$ upper triangular g-row substochastic matrix $R$ such that $X=RY$‎. ‎This paper characterizes all‎ ‎linear preservers and strong linear preservers of $\prec_{sgut}$ on $\mathbb{R}^{n}$ and $\textbf{M}_{n,m}$ respectively‎.}, keywords = {Linear preserver,Strong linear preserver,g-row substochastic matrices,sgut- majorization}, url = {http://bims.iranjournals.ir/article_773.html}, eprint = {http://bims.iranjournals.ir/article_773_f2bdfc65aa79e88076d077bd50940a73.pdf} }