Skip to main content
Log in

On the completeness ofLα 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. C. Blondia, Integration in locally convex spaces. Simon Stevin55, 81–102 (1981).

    MathSciNet  MATH  Google Scholar 

  2. C. Blondia, A Radon-Nikodym theorem for vector valued measures. Bull. Soc. Math. Belg.33, 231–249 (1981).

    MathSciNet  MATH  Google Scholar 

  3. C.Blondia, Locally convex spaces with the Radon-Nikodym property. Preprint.

  4. C. Blondia, On the Radon-Nikodym property in locally convex spaces and the completeness ofL 1 E . Rev. Real Acad. Cienc. Madrid81, 635–647 (1987).

    MathSciNet  MATH  Google Scholar 

  5. G. Y. H. Chi, On the Radon-Nikodym theorem in locally convex spaces. LNM541, 199–210, Berlin-Heidelberg-New York 1976.

    MathSciNet  Google Scholar 

  6. J.Diestel and J.Uhl, Vector measures. Math. Surveys15, Amer. Math. Soc. Providence R.I., 1978.

  7. L. Egghe, On the Radon-Nikodym property and related topics in locally convex spaces. LNM645, 77–90, Berlin-Heidelberg-New York 1977.

    MathSciNet  Google Scholar 

  8. D. Gilliam, On integration and the Radon-Nikodym theorem in quasi-complete locally convex topological spaces. J. Reine Angew. Math.292, 125–137 (1977).

    MathSciNet  MATH  Google Scholar 

  9. P. R.Halmos, Measure theory. New York 1950.

  10. A.Pietsch, Nuclear locally convex spaces. Berlin-Heidelberg-New York 1972.

    Chapter  Google Scholar 

  11. B. Rodriguez-Salinas, Integración de funciones con valores en un espacio localmente convexo. Rev. Real Acad. Cienc. Madrid73, 361–387 (1979).

    MathSciNet  Google Scholar 

  12. B. Rodriguez-Salinas, El teorema de Radon-Nikodym para las medidas con valores en un espacio localmente convexo. Rev. Real Acad. Cienc. Madrid74, 41–64 (1980).

    Google Scholar 

  13. B. Rodriguez-Salinas, La propriedad de Radon-Nikodym,δ-dentabilidad y martingalas en espacios localmente convexos. Rev. Real Acad. Cienc. Madrid74, 65–89 (1980).

    Google Scholar 

  14. B. Rodriguez-Salinas, La propriedad de Radon-Nikodym,σ-dentabilidad y martingalas en espacios localmente convexos II. Rev. Real Acad. Cienc. Madrid78, 59–64 (1984).

    Google Scholar 

  15. G. E. F.Thomas, The Lebesgue Radon-Nikodym theorem for the vector valued Radon measures. Amer. Math. Soc. Mem.139, 1974.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guerra, P.J., Rodriguez-Salinas, B. On the completeness ofLα locally convex spaces. Arch. Math 52, 82–91 (1989). https://doi.org/10.1007/BF01197976

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01197976

Navigation