Skip to main content
Log in

A characterization of a class of Fréchet spaces and the density condition

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. K. D. Bierstedt andJ. Bonet, Stefan Heinrich's density condition for Fréchet spaces and the characterization of distinguished Köthe echelon spaces. Math. Nachr.135, 149–180 (1988).

    Google Scholar 

  2. J.Bonet and J. C.Diaz, The density condition in subspaces and quotients of Fréchet spaces. Preprint.

  3. J.Diestel, Sequences and series in Banach spaces. Berlin-Heidelberg-New York 1984.

  4. S. Heinrich, Ultrapowers of locally convex spaces and applications, I. Math. Nachr.118, 211–229 (1984).

    Google Scholar 

  5. S. Önal andT. Terzioğlu, Unbounded linear operators and nuclear Köthe quotients. Arch. Math.54, 576–581 (1990).

    Google Scholar 

  6. S. Önal andT. Terzioğlu, A normability condition on locally convex space. Rev. Mat. Univ. Complut. Madrid4, 55–63 (1991).

    Google Scholar 

  7. S.Önal and T.Terzioğlu, Concrete subspaces and quotient spaces of locally convex spaces and completing sequences. Dissertationes Math. (Rozprawy Mat.)318 (1992).

  8. H. P. Rosenthal, A characterization of Banach spaces containing ℓ1. Proc. Nat. Acad. Sci. USA71, 2411–2413 (1975).

    Google Scholar 

  9. T. Terzioğlu andM. Yurdakul, Restrictions of unbounded continuous linear operators on Fréchet spaces. Arch. Math.46, 547–550 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Önal, S., Terzioğlu, T. A characterization of a class of Fréchet spaces and the density condition. Arch. Math 61, 257–259 (1993). https://doi.org/10.1007/BF01198722

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01198722

Keywords

Navigation