Skip to main content
SpringerLink
Log in

On the hypercompleteness of locally convex spaces

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

We give an example of a hypercomplete space that does not satisfy the Krein-Shmul'yan condition.

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

Literature cited

  1. J. L. Kelley, Hypercomplete Linear Topological Spaces [Russian translation], in Matematika,4, No. 6, 79–92 (1960).

    Google Scholar 

  2. O. G. Smolyanov, “The space D is not hereditarily complete,” Izv. Akad. Nauk SSSR, Ser. Matem.,35, No. 3, 682–696 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    E. T. Shavgulidze

Authors
  1. E. T. Shavgulidze
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskii Zametki, Vol. 13, No. 2, pp. 297–302, February, 1973.

I wish to express my gratitude to O. G. Smolyanov for posing the problem.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shavgulidze, E.T. On the hypercompleteness of locally convex spaces. Mathematical Notes of the Academy of Sciences of the USSR 13, 180–182 (1973). https://doi.org/10.1007/BF01094239

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094239

Search

Navigation