References
K. D. Bierstedt andJ. Bonet, Dual density conditions in (D F)-spaces I. Results Math.14, 242–274 (1988).
K. D. Bierstedt, J. Bonet andJ. Schmets, (D F)-spaces of typeC B(X, E) andC ¯V(X, E). Note Mat.10, 127–148 (1990).
N.Bourbaki, Intégration. Paris 1973.
S. Díaz, A. Fernández, M. Florencio andP. J. Paúl, An abstract Banach-Steinhaus theorem and applications to function spaces. Results Math.23, 242–250 (1993).
S. Díaz, A. Fernández, M. Florencio andP. J. Paúl, A wide class of ultrabornological spaces of measurable functions. J. Math. Anal. Appl.190, 697–713 (1995).
S. Dierolf, On spaces of continuous linear mappings between locally convex spaces. Note Mat.5, 147–225 (1985).
J. Dieudonné, Sur les espaces de Köthe. J. Analyse Math.1, 81–115 (1951).
A. Fernández andM. Florencio, The space of essentially bounded measurable functions with values in aDF-space. Proc. Roy. Irish Acad. Sect. A90, 63–71 (1990).
M. Florencio andP. J. Paúl, Barrelledness conditions on certain vector valued sequence spaces. Arch. Math.48, 153–164 (1987).
M. Florencio, F. Mayoral andP. J. Paúl, Inductive limits of spaces of vector-valued integrable functions. Results Math.25, 242–251 (1994).
M.Florencio, F.Mayoral and P. J.Paúl, Spaces of vector-valued integrable functions and localization of bounded subsets. Math. Nachr., to appear.
R. Hollstein, Permanence properties ofC(X, E). Manuscripta Math.38, 41–58 (1992).
H.Jarchow, Locally Convex Spaces. Stuttgart 1981.
G.Köthe, Topological Vector Spaces I, II. Berlin-Heidelberg-New York 1969, 1979.
J.Lindenstrauss and L.Tzafriri, Classical Banach Spaces II, Function Spaces. Berlin-Heidelberg-New York 1979.
P.Pérez Carreras and J.Bonet, Barrelled Locally Convex Spaces. Amsterdam-New York-Oxford-Tokyo 1987.
J.Schmets, Spaces of Vector-Valued Continuous Functions. LNM1003, Berlin-Heidelberg-New York 1983.
P.Szeptycki, Notes on integral transformations. Dissertationes Math. (Rozprawy Mat.)231 (1984).
G. E. F.Thomas, The Lebesgue-Nikodym theorem for vector valued Radon measures. Mem. Amer. Math. Soc.139 (1974).
G. E. F. Thomas, Totally summable functions with values in locally convex spaces. In: Measure Theory (Proc. Oberwolfach, 1975), LNM541, 117–131, Berlin-Heidelberg-New York 1976.
A. C.Zaanen, Integration. Amsterdam 1967.
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Florencio, M., Mayoral, F. & Paúl, P.J. (D F)-spaces of vector-valued integrable functions. Arch. Math 65, 80–88 (1995). https://doi.org/10.1007/BF01196584
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DOI: https://doi.org/10.1007/BF01196584