Skip to main content
Log in

Some classes of locally convex spaces

  • 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. M. de Wilde andC. Houet, On Increasing Sequence of Absolutely Convex Sets in Locally-Convex Spaces. Math. Ann.192, 257–261 (1971).

    Google Scholar 

  2. A. Grothendieck, Sur les espaces (F) et (DF). Summ. Bras Math.3 (6), 57–123 (1954).

    Google Scholar 

  3. T. Husain, Two new classes of locally convex spaces. Math. Ann.166, 289–299 (1966).

    Google Scholar 

  4. Y. Komura, Some examples on linear topological spaces. Math. Ann.153, 150–162 (1964).

    Google Scholar 

  5. G.Kothe, Topological Vector Spaces I. Berlin-Heidelberg-New York 1969.

  6. M. Levin andS. Saxon, A note on the inheritance of properties of locally convex spaces of countable codimension. Proc. Amer. Math. Soc.29, 97–102 (1971).

    Google Scholar 

  7. J.Mazón, Tres nuevas clases de espacios localmente convexos. Tesis Doctoral. Valencia 1980.

  8. K. Noureddine, Nouvelles classes d'espaces localement convexes. Publ. Dép. Math. Lyon. 10–3, 259–277 (1973).

    Google Scholar 

  9. K. Noureddine, Espaces dul type Db. C. R. Acad. Sci. Paris, Série A,276, 1301 (1973).

    Google Scholar 

  10. K. Noureddine, Note sur les Espaces Db. Math. Ann.219, 97–103 (1976).

    Google Scholar 

  11. A.Pietsch, Nuclear Locally Convex Spaces. Berlin-Heidelberg-New York 1972.

  12. W. Ruess, A Grothendieck Representations for the Completion of Cones of Continuous Seminorms. Math. Ann.208, 71–90 (1974).

    Google Scholar 

  13. W. Ruess, On the Locally Convex Structure of Strict Topogies. Math. Z.153, 179–192 (1977).

    Google Scholar 

  14. W. Ruess, Closed graph theorems for generalized inductive limit topologies. Math. Proc. Cambridge. Phil. Soc.82, 67–83 (1977).

    Google Scholar 

  15. W.Ruess, The strict topology and (DF) spaces. Funct. Anal.: Surveys and Recent Results. Amsterdam 1977.

  16. J. H. Webb, Sequential convergence in locally convex spaces. Proc. Cambridge Phil. Soc.64, 341–364 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I thank Prof. Valdivia for his help and constant encouragement.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mazón, J.M. Some classes of locally convex spaces. Arch. Math 38, 131–137 (1982). https://doi.org/10.1007/BF01304768

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01304768

Navigation