Geodesic
Closed subgroups in Banach spaces
Studia Mathematica, Tome 109 (1994) no. 3, pp. 277-290

Voir la notice de l'article provenant de 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.
DOI : 10.4064/sm-109-3-277-290
Keywords: additive subgroup of linear space, basic sequence, weakly closed, topological dimension

Fredric D. Ancel 1 ;  1 ;  1

1 
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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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