References
P.Antosik and C.Swartz, Matrix Methods in Analysis. LNM1113, Berlin-Heidelberg-New York 1985.
K. D. Bierstedt andJ. Bonet, Dual density conditions in (DF)-spaces, I. Results in Math.14, 242–274 (1988).
K. D. Bierstedt, J. Bonet andJ. Schmets, (DF)-spaces of typeCB(X, E) andC¯V(X, E). Note Mat.10, 127–148 (1990).
W. W.Comfort and S.Negrepontis, The Theory of Ultrafilters. Berlin-Heidelberg-New York 1974.
J. C. Díaz, M. Florencio andP. J. Paúl, A uniform boundedness theorem forL ∞(μ, E. Arch. Math.60, 73–78 (1993).
S. Díaz, A. Fernandez, M. Florencio andP. J. Paúl, An abstract Banach-Steinhaus theorem and applications to function spaces. Results in Math.23, 242–250 (1993).
S. Dierolf, On spaces of continuous linear mappings between locally convex spaces. Habilitationsschrift, Univ. München, 1983. Note Mat.5, 147–225 (1985).
P. Dierolf, S. Dierolf andL. Drewnowski, Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces. Colloq. Math.39, 109–116 (1978).
L. Drewnowski, M. Florencio andP. J. Paúl, Uniform boundedness of operators and barrelledness in spaces with Boolean algebras of projections. Atti Sem. Mat. Fis. Univ. Modena41, 317–329 (1993).
R.Engelking, General Topology. Warszawa, 1977.
J. C.Ferrando, On the barrelledness of the vector-valued bounded function space. To appear.
M. Florencio, P. J. Paúl andJ. M. Virués, On the Mikusińsky-Antosik diagonal theorem. Bull. Polish Acad. Sci. Math.40, 189–195 (1992).
J. Kakol andW. Roelcke, On the barrelledness ofl p-direct sums of seminormed spaces for 1≦p≦∞. Arch. Math62, 331–334 (1994).
G.Köthe, Topological Vector Spaces, I and II. Berlin-Heidelberg-New York 1969 and 1979.
K.Kuratowski and A.Mostowski, Set Theory. Amsterdam-Warszawa 1967.
P. Lurje, Tonnelierheit in lokalkonvexen Vektorgruppen. Manuscripta Math.14, 107–121 (1974).
P. Pérez Carreras andJ. Bonet, Barrelled Locally Convex Spaces. Notas Mat.131, North-Holland, Amsterdam-New York-Oxford-Tokyo 1987.
A.Wilansky, Modern Methods in Topological Vector Spaces. New York 1978.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Drewnowski, L., Florencio, M. & Paul, P.J. On the barrelledness of spaces of bounded vector functions. Arch. Math 63, 449–458 (1994). https://doi.org/10.1007/BF01196676
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01196676