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ArticleOriginal scientific text

Title

Topological type of weakly closed subgroups in Banach spaces

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Pittsburg State University, Pittsburg, Kansas 66762, U.S.A.
  2. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
  3. Institute of Mathematics, University of Tsukuba, Tsukuba-Shi, Ibaraki, 305, Japan

Abstract

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 ℓ1 which are interesting from the Banach space theory point of view are discussed.

Keywords

ENG
additive subgroup of linear space, weakly closed, topological dimension, complete Erdős space, Lelek fan

Bibliography

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Studia Mathematica
1996/118/1
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Pages:
49-62
Main language of publication
English
Received
1995-09-26
Accepted
1995-03-13
Published
1996
Exact and natural sciences