Quelques théorèmes ergodiques dans les espaces L E p

I. Assani

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 2, page 209-224
  • ISSN: 0246-0203

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Assani, I.. "Quelques théorèmes ergodiques dans les espaces $L^p_E$." Annales de l'I.H.P. Probabilités et statistiques 23.2 (1987): 209-224. <http://eudml.org/doc/77298>.

@article{Assani1987,
author = {Assani, I.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Cesaro means; ergodic theorems},
language = {fre},
number = {2},
pages = {209-224},
publisher = {Gauthier-Villars},
title = {Quelques théorèmes ergodiques dans les espaces $L^p_E$},
url = {http://eudml.org/doc/77298},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Assani, I.
TI - Quelques théorèmes ergodiques dans les espaces $L^p_E$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 2
SP - 209
EP - 224
LA - fre
KW - Cesaro means; ergodic theorems
UR - http://eudml.org/doc/77298
ER -

References

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  1. [1] I. Assani, Contribution à la théorie ergodique des opérateurs et applications multivoques à valeurs dans un espace de Banach. Thèse d'État. Université Paris VI, 3 mars 1986. 
  2. [2] J. Bourgain, Extension of a result of Benedek, Calderon' and Panzone. Arkiv. Mat., t. 22, 1984, p. 91-95. Zbl0548.46022MR735880
  3. [3] M. Cambern, The Isometries of Lp(X, K). Pacific J. Math., t. 55, 1974, p. 9-17. Zbl0277.46027MR370172
  4. [4] R.V. Chacon, An ergodic theorem for operators satisfying norm conditions. J. Math. Mech., t. 11, 1962, p. 165-172. Zbl0115.33804MR147619
  5. [5] N. Dunford, J.T. Schwarz, Linear operators. Part 1, Interscience, New York, 1958. Zbl0084.10402
  6. [6] C.L. Fefferman, E.M. Stein, Some maximal inequalities. Amer J. Math., t. 1, 1971, p. 107-115. Zbl0222.26019MR284802
  7. [7] A. Ionescu-Tulcea, Ergodic properties of isometries in Lp spaces. Bull. Amer. Math. Soc., t. 70, 1964, p. 336-371. Zbl0185.29003MR206207
  8. [8] C.H. Kan, Ergodic properties of Lamperti operators. Canad. J. of Math., 1978, t. 30, 1978, p. 1206-1214. Zbl0368.47006MR511557
  9. [9] H.A. Klei, Compacité faible de parties décomposables de L1E. Comptes Rendus de l'Acad. des Sciences, Paris, t. 296, Série I, 1983, p. 965. Zbl0532.46017MR777586
  10. [10] H.P. Rosenthal, A characterization of Banach spaces containing l1. Proc. Nat. Acad. Sc. U. S. A., t. 71, 1974, p. 2411-2413. Zbl0297.46013MR358307
  11. [11] H.L. Royden, Real analysis, 2nd ed, MacMillan Co, New York, 1968. Zbl0197.03501MR1013117
  12. [12] M. Srebrny, Measurable selectors of PCA multifunctions with applications. Mem. Amer. Math. Soc., t. 52, n° 311, 1984. Zbl0567.28005MR764317
  13. [13] A.R. Sourour, The isometries of Lp (Ω, X). Journal of Functional Analysis, t. 30, 1978, p. 276-285. Zbl0396.47020MR515230
  14. [14] A. De La Torre, A simple proof of the maximal ergodic theorem. Can. J. Math., t. 28, 1976, p. 1073-1075. Zbl0336.47006MR417819

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