Author:
Casazza Peter G.,Dilworth Stephen J.,Kutzarova Denka,Motakis Pavlos
Abstract
AbstractMotivated by Altshuler’s famous characterization of the unit vector basis of
$c_0$
or
$\ell _p$
among symmetric bases (Altshuler [1976, Israel Journal of Mathematics, 24, 39–44]), we obtain similar characterizations among democratic bases and among bidemocratic bases. We also prove a separate characterization of the unit vector basis of
$\ell _1$
.
Publisher
Canadian Mathematical Society