Closed subgroups in Banach spaces
Volume 109 / 1994
Studia Mathematica 109 (1994), 277-290
DOI: 10.4064/sm-109-3-277-290
Abstract
We show that zero-dimensional nondiscrete closed subgroups do exist in Banach spaces E. This happens exactly when E contains an isomorphic copy of $c_0$. Other results on subgroups of linear spaces are obtained.
