RT - Journal Article T1 - Block Diagonal Majorization on $C_{0}$ JF - IJMSI YR - 2013 JO - IJMSI VO - 8 IS - 2 UR - http://ijmsi.ir/article-1-511-en.html SP - 131 EP - 136 K1 - Block diagonal matrices K1 - Majorization K1 - Stochastic matrices K1 - Linear preservers. AB - Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$. LA eng UL http://ijmsi.ir/article-1-511-en.html M3 10.7508/ijmsi.2013.02.012 ER -