Reformulation et extension de certains théorèmes ergodiques

Jean-Pierre Roth

Annales de l'I.H.P. Probabilités et statistiques (1990)

  • Volume: 26, Issue: 3, page 437-450
  • ISSN: 0246-0203

How to cite

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Roth, Jean-Pierre. "Reformulation et extension de certains théorèmes ergodiques." Annales de l'I.H.P. Probabilités et statistiques 26.3 (1990): 437-450. <http://eudml.org/doc/77388>.

@article{Roth1990,
author = {Roth, Jean-Pierre},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Cesàro means; maximal lemma; Chacon-Ornstein theorem; Dunford-Schwartz theorem; stochastic ergodic theorem},
language = {fre},
number = {3},
pages = {437-450},
publisher = {Gauthier-Villars},
title = {Reformulation et extension de certains théorèmes ergodiques},
url = {http://eudml.org/doc/77388},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Roth, Jean-Pierre
TI - Reformulation et extension de certains théorèmes ergodiques
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1990
PB - Gauthier-Villars
VL - 26
IS - 3
SP - 437
EP - 450
LA - fre
KW - Cesàro means; maximal lemma; Chacon-Ornstein theorem; Dunford-Schwartz theorem; stochastic ergodic theorem
UR - http://eudml.org/doc/77388
ER -

References

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  1. [1] M.A. Akcoglu, L. Sucheston, On Ergodic Theory and Truncated Limits in Banach Lattices, Proceedings of the 1983 Oberwolfach Measure Theory Conférence, Lect. Notes Math., vol. 1089, 241-262, 1984, Springer-Verlag, Berlin. Zbl0579.47005MR786702
  2. [2] M.A. Akcoglu, L. Sucheston, An Ergodic Theorem on Banach Lattices, Israël J. Math., vol. 51, 1985, 208-222. Zbl0592.47005MR804484
  3. [3] Ph. Benilan, Equations d'évolution dans un espace de Banach quelconque et applications, 1972, Thèse Orsay. 
  4. [4] A. Brunel, Sur un lemme ergodique voisin du lemme de E. Hopf et sur une de ses applications, C.R. Acad. Sci. Paris, t. 256, 1963, 5481-5484. Zbl0117.10402MR152633
  5. [5] R.V. Chacon, D.S. Ornstein, A general ergodic theorem, Illinois J.M. t. 4, 1960, 153-160. Zbl0134.12102MR110954
  6. [6] N. Dunford, J.T. Schwartz, Convergence almost everywhere of operator averages, J. Rat. Mech. Anal., 1956, T. 5, 129-178. Zbl0075.12102MR77090
  7. [7] D. Feyel, Espaces complètement réticulés de pseudo-noyaux. Applications aux résolvantes et aux semi-groupes complexes, Sém. Théorie du potentiel, Paris, N°3, Lect. Notes Math., vol. 681, 54-80, 1978, Springer-Verlag, Berlin. Zbl0399.47034MR521778
  8. [8] D. Feyel, Théorèmes de convergence presque sûre, existence de semi-groupes, Adv. Math., t. 34, 1979, 154-162. Zbl0425.60005MR549782
  9. [9] A. Garsia, Topics in almost everywhere convergence, Lect. Adv. Math.4, 1970, Markham Publishing Company. Zbl0198.38401MR261253
  10. [10] U. Krengel, Ergodic theorems, Studies Math.6, de Gruyter, 1985. Zbl0575.28009MR797411

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