On Schwartz's C-spaces and Orlicz's O-spaces
Díaz Madrigal, S.
Colloquium Mathematicae, Tome 66 (1993), p. 245-251 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210188
@article{bwmeta1.element.bwnjournal-article-cmv64i2p245bwm,
     author = {S. D\'\i az Madrigal},
     title = {On Schwartz's C-spaces and Orlicz's O-spaces},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {245-251},
     zbl = {0821.46007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p245bwm}
}
Díaz Madrigal, S. On Schwartz's C-spaces and Orlicz's O-spaces. Colloquium Mathematicae, Tome 66 (1993) pp. 245-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv64i2p245bwm/

[000] [1] C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164. | Zbl 0084.09805

[001] [2] A. Costé, Convergence des séries dans les espaces F-normés de fonctions mesurables, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 19 (1971), 131-134. | Zbl 0233.46037

[002] [3] P. Dierolf, Une caractérisation des espaces vectoriels topologiques complets au sens de Mackey, C. R. Acad. Sci. Paris Sér. A 283 (1976), 245-248. | Zbl 0334.46013

[003] [4] P. Dierolf, S. Dierolf and L. Drewnowski, Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces, Colloq. Math. 39 (1978), 109-116. | Zbl 0386.46008

[004] [5] L. Drewnowski and W. Orlicz, A note on modular spaces. X, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 16 (1968), 809-814. | Zbl 0164.43003

[005] [6] H. Jarchow, Locally Convex Spaces, B. G. Teubner, Stuttgart 1981.

[006] [7] N. J. Kalton, Exhaustive operators and vector measures, Proc. Edinburgh Math. Soc. 19 (1975), 291-300. | Zbl 0302.47020

[007] [8] I. Labuda, On bounded multiplier convergence of series in Orlicz spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 23 (1975), 651-655. | Zbl 0309.46019

[008] [9] W. Matuszewska and W. Orlicz, A note on modular spaces. IX, ibid. 16 (1968), 801-808. | Zbl 0164.43002

[009] [10] S. Rolewicz, Metric Linear Spaces, Reidel, Dordecht 1985. | Zbl 0573.46001

[010] [11] S. Rolewicz and C. Ryll-Nardzewski, On unconditional convergence in metric linear spaces, Colloq. Math. 57 (1967), 327-331. | Zbl 0166.10401

[011] [12] L. Schwartz, Un théorème de convergence dans les Lp, 0≤ p<+∞, C. R. Acad. Sci. Paris Sér. A 268 (1969), 704-706.

[012] [13] E. Thomas, Sur le théorème d'Orlicz et un problème de M. Laurent Schwartz, ibid. 267 (1968), 7-10.

[013] [14] E. Thomas, Sur les mesures vectorielles à valeurs dans des espaces d'un type particulier, ibid. 266 (1968), 1135-1137. | Zbl 0159.42702

[014] [15] E. Thomas, The Lebesgue-Nikodym theorem for vector-valued Radon measures, Mem. Amer. Math. Soc. 139 (1974).