Skip to main content
Log in

Weak compactness in locally convexg-spaces and related questions

  • Published:
Mathematische Annalen 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. Arens, R. F., Eells, J.: On embedding uniform and topological spaces. Pacific J. Math.6, 397–403 (1956).

    Google Scholar 

  2. Bourbaki, N.: Topologie générale, Chap. I, II, 2nd ed., Paris: Hermann et Cie 1951.

    Google Scholar 

  3. —— Topologie générale, Chap. X, Paris: Hermann et Cie 1949.

    Google Scholar 

  4. Bushaw, D.: On boundedness in uniform spaces. Fund. Math.56, 295–300 (1965).

    Google Scholar 

  5. Grothendieck, A.: Critères de compacité dans les espaces fonctionnels généraux. Amer. J. Math.74, 168–186 (1952).

    Google Scholar 

  6. Hejcman, J.: On conservative uniform spaces. Comment. Math. Univ. Carolinae7, 411–417 (1966).

    Google Scholar 

  7. Hewitt, E.: Rings of real-valued continuous functions. I. Trans. Amer. Math. Soc.64, 45–99 (1948).

    Google Scholar 

  8. Isbell, J. R.: Uniform neighborhood retracts. Pacific J. Math.11, 609–648 (1961).

    Google Scholar 

  9. Katětov, M.: Allgemeine Stetigkeitsstrukturen. Proceed. Intern. Congress of Math., 473–479 (1962).

  10. Kenderov, P.: On topological vector groups (Russian). Mat. Sb.81, 580–599 (1970).

    Google Scholar 

  11. Köthe, G.: Topologische lineare Räume. I. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  12. Kuratowski, C.: Topologie. II. 2nd ed., Warszawa: Polish Academy of Sciences 1952.

    Google Scholar 

  13. Pietsch, A.: Nukleare lokalkonvexe Räume. Berlin: Akademie-Verlag 1965.

    Google Scholar 

  14. Raikov, D. A.: Free locally convex spaces of uniform spaces (Russian). Mat. Sb.63, 582–590 (1964).

    Google Scholar 

  15. Raikov, D. A.: OnB-complete topological vector groups (Russian). Studia Math.XXXI, 295–305 (1968).

    Google Scholar 

  16. Rolewicz, S.: Linear Metric Spaces and the Theory of Equations (mimeographed lecture notes). Warszawa: Polish Academy of Sciences (1967–1968).

    Google Scholar 

  17. Samuel, P.: Ultrafilters and compactification of uniform spaces. Trans. Amer. Math. Soc.64, 100–132 (1948).

    Google Scholar 

  18. Tomášek, S.: On tensor products of Abelian groups. Comment. Math. Univ. Carolinae6, 73–83 (1965).

    Google Scholar 

  19. —— On a certain class of Λ-structures. I, II. Czech. Math. J.20, 1–18, 19–33 (1970).

    Google Scholar 

  20. —— Certain generalizations of the Katětov theorem. Comment. Math. Univ. Carolinae9, 573–581 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Herrn Prof. Dr. Dr. h. c. Gottfried Köthe zum 65. Geburtstag in Dankbarkeit gewidmet.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tomášek, S. Weak compactness in locally convexg-spaces and related questions. Math. Ann. 192, 304–312 (1971). https://doi.org/10.1007/BF02075358

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02075358

Keywords

Navigation