Unconditional convergence and the Vitali-Hahn-Saks theorem

Alex.P. Robertson

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 335-341
  • ISSN: 0249-633X

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Robertson, Alex.P.. "Unconditional convergence and the Vitali-Hahn-Saks theorem." Mémoires de la Société Mathématique de France 31-32 (1972): 335-341. <http://eudml.org/doc/94628>.

@article{Robertson1972,
author = {Robertson, Alex.P.},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {335-341},
publisher = {Société mathématique de France},
title = {Unconditional convergence and the Vitali-Hahn-Saks theorem},
url = {http://eudml.org/doc/94628},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Robertson, Alex.P.
TI - Unconditional convergence and the Vitali-Hahn-Saks theorem
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 335
EP - 341
LA - eng
UR - http://eudml.org/doc/94628
ER -

References

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  1. [1] BROOKS (J. K.). — On the Vitali-Hahn-Saks and Nikodým theorems. Proc. Nat. Acad. Sci. U. S. A. 64 (1969), 468-471. Zbl0188.35604MR42 #3241
  2. [2] NIKODYM (O. M.). — Sur les suites convergentes de fonctions parfaitement additives d'ensemble abstrait. Monatsh. Math. 40 (1933), 427-432. Zbl0008.25003JFM59.0270.03
  3. [3] ORLICZ (W.). — Beiträge zur theorie der orthogonalentwicklungen II, Studia Math. 1 (1929), 241-255. Zbl55.0164.02JFM55.0164.02
  4. [4] PETTIS (B. J.). — On integration in vector spaces. Trans. Amer. Math. Soc. 44 (1938), 277-304. Zbl0019.41603MR1501970JFM64.0371.02
  5. [5] ROBERTSON (A. P.). — On unconditional convergence in topological vector spaces. Proc. Roy. Soc. Edinburgh Sect. A. 68 (1969), 145-157. Zbl0203.42703MR39 #7387
  6. [6] ROLEWICZ (S.) and RYLL-NARDZEWSKI (C.). — On unconditional convergence in linear metric spaces. Colloq. Math. 17 (1967), 327-331. Zbl0166.10401MR36 #3017
  7. [7] SAKS (S.). — Addition to the note on some functionals. Trans. Amer. Math. Soc. 35 (1933), 967-974. Zbl0008.15104MR1501701JFM59.0409.02

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