Mathematische Annalen

, Volume 267, Issue 4, pp 479–486 | Cite as

Barrelledness of the space of vector valued and simple functions

  • Francisco J. Freniche


Simple Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Diestel, J., Uhl, J.J., Jr. Vector measures. Mathematical Surveys, No. 15. Providence: American Mathematical Society 1977Google Scholar
  2. 2.
    Freniche, F.J.: The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property (preprint)Google Scholar
  3. 3.
    Grothendieck A.: Produits tensoriels topologiques et espaces nucléaires. Memoirs of the American Mathematical Society, No. 16. Providence: American Mathematical Society 1955Google Scholar
  4. 4.
    Jarchow, H.: Locally convex spaces. Mathematische Leitfäden. Stuttgart: Teubner 1981Google Scholar
  5. 5.
    Mendoza, J.: Barrelledness conditions onS(Σ,E) andB(Σ,E). Math. Ann.261, 11–22 (1982)Google Scholar
  6. 6.
    Nissenzweig, A.:w *-sequential convergence. Israel J. Math.22, 266–272 (1975)Google Scholar
  7. 7.
    Pietsch, A.: Nuclear locally convex spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete 66. Berlin, Heidelberg, New York: Springer 1972Google Scholar
  8. 8.
    Schachermayer, W.: On some classical measure-theoretic theorems for non sigma-complete Boolean algebras. Überarbeitete Fassung des Institutsberichtes, 120. Linz-Auhof: Johannes-Kepler-Universität Linz 1980Google Scholar
  9. 9.
    Semadeni, Z.: Banach spaces of continuous functions. Państwowe Wydawnictwo Naukowe: Warszawa 1971Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Francisco J. Freniche
    • 1
  1. 1.Departamento de Teoría de Funciones, Facultad de MatemáticasUniversidad de SevillaSevillaSpain

Personalised recommendations