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ArticleOriginal scientific text

Title

On the representation of uncountable symmetric basic sets and its applications

Authors 1, 2

Affiliations

  1. Dept. Mathematical Analysis, Faculty of Mathematics, Complutense University, 28040 Madrid, Spain
  2. Dept. Mathematics & Informatics, Sofia University, 5, James Bourchier BLVD., 1126 Sofia, Bulgaria

Abstract

It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.

Keywords

ENG
symmetric basis, Orlicz sequence spaces, Lorentz sequence spaces

Bibliography

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Studia Mathematica
1993/107/3
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Pages:
287-304
Main language of publication
English
Received
1992-02-06
Accepted
1993-05-27
Published
1993
Exact and natural sciences