TOPOLOGICAL TYPE OF WEAKLY CLOSED SUBGROUPS IN BANACH-SPACES

Authors
DOBROWOLSKI T GRABOWSKI J KAWAMURA K
Citation
T. Dobrowolski et al., TOPOLOGICAL TYPE OF WEAKLY CLOSED SUBGROUPS IN BANACH-SPACES, Studia Mathematica, 118(1), 1996, pp. 49-62
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
118
Issue
1
Year of publication
1996
Pages
49 - 62
Database
ISI
SICI code
0039-3223(1996)118:1<49:TTOWCS>2.0.ZU;2-G
Abstract
The main result says that nondiscrete, weakly closed, containing no no ntrivial linear subspaces, additive subgroups in separable reflexive B anach spaces are homeomorphic to the complete Erdos space. Two example s of such subgroups in l(1) which are interesting from the Banach spac e theory point of view are discussed.