Topological type of weakly closed subgroups in Banach spaces
Studia Mathematica, Tome 118 (1996) no. 1, pp. 49-62
The main result says that nondiscrete, weakly closed, containing no nontrivial linear subspaces, additive subgroups in separable reflexive Banach spaces are homeomorphic to the complete Erdős space. Two examples of such subgroups in $ℓ^1$ which are interesting from the Banach space theory point of view are discussed.
Keywords:
additive subgroup of linear space, weakly closed, topological dimension, complete Erdős space, Lelek fan
@article{10_4064_sm_118_1_49_62,
author = {Tadeusz Dobrowolski and and },
title = {Topological type of weakly closed subgroups in {Banach} spaces},
journal = {Studia Mathematica},
pages = {49--62},
year = {1996},
volume = {118},
number = {1},
doi = {10.4064/sm-118-1-49-62},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-118-1-49-62/}
}
TY - JOUR AU - Tadeusz Dobrowolski AU - AU - TI - Topological type of weakly closed subgroups in Banach spaces JO - Studia Mathematica PY - 1996 SP - 49 EP - 62 VL - 118 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-118-1-49-62/ DO - 10.4064/sm-118-1-49-62 LA - en ID - 10_4064_sm_118_1_49_62 ER -
Tadeusz Dobrowolski; ; . Topological type of weakly closed subgroups in Banach spaces. Studia Mathematica, Tome 118 (1996) no. 1, pp. 49-62. doi: 10.4064/sm-118-1-49-62
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