Skip to main content
SpringerLink
Log in

A solution to a problem of De Wilde and Tsirulnikov

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

Every infinite dimensional Banach or Fréchet space X has a dense Baire (hence barrelled) subspace E of uncountable codimension such that every closed subspaee M of X with M∩E={0} is finite dimensional. This result solves negatively a problem raised recently by M. De Wilde and B. Tsirulnikov.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. BURZYK,J., KLIŚ,C., LIPECKI,Z.: On metrizable Abelian groups with a completeness-type property. Colloquium Math. (to appear)

  2. DE WILDE,M., TSIRULNIKOV,B.: Barrelled spaces with a B-complete completion. Manuseripta Math.33, 411–427 (1981)

    Google Scholar 

  3. LABUDA,I., LIPECKI,Z.: On subseries convergent series and m-quasi-bases in topological linear spaces. Manuseripta Math

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, A. Mickiewicz University, Poznań, Poland

    Lech Drewnowski

Authors
  1. Lech Drewnowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Drewnowski, L. A solution to a problem of De Wilde and Tsirulnikov. Manuscripta Math 37, 61–64 (1982). https://doi.org/10.1007/BF01239945

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01239945

Keywords

Search

Navigation