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On Schwartz's C-spaces and Orlicz's O-spaces

S. Díaz Madrigal

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 245-251
  • ISSN: 0010-1354

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Díaz Madrigal, S.. "On Schwartz's C-spaces and Orlicz's O-spaces." Colloquium Mathematicae 64.2 (1993): 245-251. <http://eudml.org/doc/210188>.

@article{DíazMadrigal1993,
author = {Díaz Madrigal, S.},
journal = {Colloquium Mathematicae},
keywords = {-space; -space; perfectly bounded series; locally complete},
language = {eng},
number = {2},
pages = {245-251},
title = {On Schwartz's C-spaces and Orlicz's O-spaces},
url = {http://eudml.org/doc/210188},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Díaz Madrigal, S.
TI - On Schwartz's C-spaces and Orlicz's O-spaces
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 245
EP - 251
LA - eng
KW - -space; -space; perfectly bounded series; locally complete
UR - http://eudml.org/doc/210188
ER -

References

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  1. [1] C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164. Zbl0084.09805
  2. [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. Zbl0233.46037
  3. [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. Zbl0334.46013
  4. [4] P. Dierolf, S. Dierolf and L. Drewnowski, Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces, Colloq. Math. 39 (1978), 109-116. Zbl0386.46008
  5. [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. Zbl0164.43003
  6. [6] H. Jarchow, Locally Convex Spaces, B. G. Teubner, Stuttgart 1981. 
  7. [7] N. J. Kalton, Exhaustive operators and vector measures, Proc. Edinburgh Math. Soc. 19 (1975), 291-300. Zbl0302.47020
  8. [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. Zbl0309.46019
  9. [9] W. Matuszewska and W. Orlicz, A note on modular spaces. IX, ibid. 16 (1968), 801-808. Zbl0164.43002
  10. [10] S. Rolewicz, Metric Linear Spaces, Reidel, Dordecht 1985. Zbl0573.46001
  11. [11] S. Rolewicz and C. Ryll-Nardzewski, On unconditional convergence in metric linear spaces, Colloq. Math. 57 (1967), 327-331. Zbl0166.10401
  12. [12] L. Schwartz, Un théorème de convergence dans les L p , 0≤ p<+∞, C. R. Acad. Sci. Paris Sér. A 268 (1969), 704-706. 
  13. [13] E. Thomas, Sur le théorème d'Orlicz et un problème de M. Laurent Schwartz, ibid. 267 (1968), 7-10. 
  14. [14] E. Thomas, Sur les mesures vectorielles à valeurs dans des espaces d'un type particulier, ibid. 266 (1968), 1135-1137. Zbl0159.42702
  15. [15] E. Thomas, The Lebesgue-Nikodym theorem for vector-valued Radon measures, Mem. Amer. Math. Soc. 139 (1974). 

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