Block Diagonal Majorization on $C_{0}$

Author(s):

A. Armandnejad , F. Passandi

Message:
Abstract:
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 $prec_b$.
Keywords:

Block diagonal matrices , Majorization , Stochastic matrices , Linear preservers

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:8 Issue: 2, Nov 2013
Pages:
131 to 136
https://www.magiran.com/p1186130