References
Diestel, J., Uhl, J.J., Jr. Vector measures. Mathematical Surveys, No. 15. Providence: American Mathematical Society 1977
Freniche, F.J.: The Vitali-Hahn-Saks theorem for Boolean algebras with the subsequential interpolation property (preprint)
Grothendieck A.: Produits tensoriels topologiques et espaces nucléaires. Memoirs of the American Mathematical Society, No. 16. Providence: American Mathematical Society 1955
Jarchow, H.: Locally convex spaces. Mathematische Leitfäden. Stuttgart: Teubner 1981
Mendoza, J.: Barrelledness conditions onS(Σ,E) andB(Σ,E). Math. Ann.261, 11–22 (1982)
Nissenzweig, A.:w *-sequential convergence. Israel J. Math.22, 266–272 (1975)
Pietsch, A.: Nuclear locally convex spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete 66. Berlin, Heidelberg, New York: Springer 1972
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 1980
Semadeni, Z.: Banach spaces of continuous functions. Państwowe Wydawnictwo Naukowe: Warszawa 1971
Author information
Authors and Affiliations
Additional information
Some of the results of this paper form part of the author's Ph. D. Thesis prepared at the Universidad de Sevilla under the direction of Professor Juan Arias de Reyna. I thank to Professor Arias de Reyna for his interest and advice
Rights and permissions
About this article
Cite this article
Freniche, F.J. Barrelledness of the space of vector valued and simple functions. Math. Ann. 267, 479–486 (1984). https://doi.org/10.1007/BF01455966
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01455966