Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1392
7
1
gregorian
2013
10
1
8
2
online
1
fulltext
en
Block Diagonal Majorization on $C_{0}$
عمومى
General
پژوهشي
Research paper
<p>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 $prec_b$.</p>
Block diagonal matrices, Majorization, Stochastic matrices, Linear preservers.
131
136
http://ijmsi.ir/browse.php?a_code=A-10-1-142&slc_lang=en&sid=1
A.
Armandnejad
10031947532846002269
10031947532846002269
Yes
F.
Passandi
10031947532846002270
10031947532846002270
No