ArticleOriginal scientific text

Title

Closed subgroups in Banach spaces

Authors 1, 2, 3

Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201, U.S.A.
  2. Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, U.S.A.
  3. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Abstract

We show that zero-dimensional nondiscrete closed subgroups do exist in Banach spaces E. This happens exactly when E contains an isomorphic copy of c0. Other results on subgroups of linear spaces are obtained.

Keywords

additive subgroup of linear space, basic sequence, weakly closed, topological dimension

Bibliography

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Pages:
277-290
Main language of publication
English
Received
1993-02-10
Accepted
1993-10-01
Published
1994
Exact and natural sciences