Closed subgroups in Banach spaces
Studia Mathematica, Tome 109 (1994) no. 3, pp. 277-290
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
additive subgroup of linear space, basic sequence, weakly closed, topological dimension
@article{10_4064_sm_109_3_277_290,
author = {Fredric D. Ancel and and },
title = {Closed subgroups in {Banach} spaces},
journal = {Studia Mathematica},
pages = {277--290},
year = {1994},
volume = {109},
number = {3},
doi = {10.4064/sm-109-3-277-290},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-109-3-277-290/}
}
Fredric D. Ancel; ; . Closed subgroups in Banach spaces. Studia Mathematica, Tome 109 (1994) no. 3, pp. 277-290. doi: 10.4064/sm-109-3-277-290
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