TY - JOUR T1 - Block Diagonal Majorization on $C_{0}$ TT - JF - IJMSI JO - IJMSI VL - 8 IS - 2 UR - http://ijmsi.ir/article-1-511-en.html Y1 - 2013 SP - 131 EP - 136 KW - Block diagonal matrices KW - Majorization KW - Stochastic matrices KW - Linear preservers. N2 - 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 $prec_b$. M3 10.7508/ijmsi.2013.02.012 ER -