Skip to main content
SpringerLink
Log in

Remarks on the metrization theorem of a linear topological space

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

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

Literature cited

  1. S. Kakutani, “Über die Metrisation der topologischen Gruppen,” Proc. Jpn. Acad. Tokyo,12, 82–84 (1936).

    Google Scholar 

  2. G. Birkhoff, “A note on topological groups,” Compositio Math.,3, 427–430 (1936).

    Google Scholar 

  3. W. Rudin, Functional Analysis [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  4. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag (1971).

  5. G. Köthe, Topologische lineäre Räume, I, Springer-Verlag, Berlin-Gottingen-Heidelberg (1960).

    Google Scholar 

  6. R. Edwards, Functional Analysis [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  7. G. Albinus, Normartige Metriken auf metrisierbaren lokalkonvexen topologische Vektorräumen,” Math. Nachr.,37, 177–195 (1968).

    Google Scholar 

  8. G. Albinus, Lineare Approximationstheorie in Klassen metrischer Vektorräume; Diss. zur Erlangung des akademischen Grades eines habilitierten Doktors Naturwissenschaften, Dresden, TU (1970).

    Google Scholar 

  9. N. Adasch, B. Ernst, and D. Keim, Topological Vector Spaces, Springer-Verlag, Berlin-Heidelberg-New York (1978).

    Google Scholar 

  10. D. N. Zarnadze, “On strictly regular Frechet spaces,” Mat. Zametki,31, No. 6, 899–908 (1982).

    Google Scholar 

  11. J. Diestel, Geometry of Banach Spaces, Springer-Verlag, Berlin-Heidelberg-New York (1975).

    Google Scholar 

  12. A. I. Vasil'ev, “On defining a metric in a linear space by a family of its subsets,” Mat. Zametki,19, No. 2, 237–247 (1976).

    Google Scholar 

  13. S. Dierolf and D. N. Zarnadze, “A note on strictly regular Frechet spaces,” Arch. Math.,42, 549–556 (1984).

    Google Scholar 

  14. D. N. Zarnadze, “Reflexivity and best approximations in Frechet spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, 821–831 (1980).

    Google Scholar 

  15. S. I. Zukhovitskii, “On minimal extensions of linear functionals in the space of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,21, 409–422 (1957).

    Google Scholar 

  16. R. R. Phelps, “Subreflexive normed linear spaces,” Arch. Math.,8, 444–450 (1957).

    Google Scholar 

  17. D. N. Zarnadze, “On some locally convex spaces of continuous functions and Radon measures,” Trudy VTs im. N. I. Muskhelishvili Akad. Nauk GSSR,19, No. 1, 29–40 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. N. I. Muskhelishvili Computing Center, Academy of Sciences of the Georgian SSR, USSR

    D. N. Zarnadze

Authors
  1. D. N. Zarnadze
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 37, No. 5, pp. 763–773, May, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zarnadze, D.N. Remarks on the metrization theorem of a linear topological space. Mathematical Notes of the Academy of Sciences of the USSR 37, 421–426 (1985). https://doi.org/10.1007/BF01157978

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01157978

Keywords

Search

Navigation