Quelques théorèmes ergodiques dans les espaces
Annales de l'I.H.P. Probabilités et statistiques (1987)
- Volume: 23, Issue: 2, page 209-224
- ISSN: 0246-0203
Access Full Article
topHow to cite
topReferences
top- [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] J. Bourgain, Extension of a result of Benedek, Calderon' and Panzone. Arkiv. Mat., t. 22, 1984, p. 91-95. Zbl0548.46022MR735880
- [3] M. Cambern, The Isometries of Lp(X, K). Pacific J. Math., t. 55, 1974, p. 9-17. Zbl0277.46027MR370172
- [4] R.V. Chacon, An ergodic theorem for operators satisfying norm conditions. J. Math. Mech., t. 11, 1962, p. 165-172. Zbl0115.33804MR147619
- [5] N. Dunford, J.T. Schwarz, Linear operators. Part 1, Interscience, New York, 1958. Zbl0084.10402
- [6] C.L. Fefferman, E.M. Stein, Some maximal inequalities. Amer J. Math., t. 1, 1971, p. 107-115. Zbl0222.26019MR284802
- [7] A. Ionescu-Tulcea, Ergodic properties of isometries in Lp spaces. Bull. Amer. Math. Soc., t. 70, 1964, p. 336-371. Zbl0185.29003MR206207
- [8] C.H. Kan, Ergodic properties of Lamperti operators. Canad. J. of Math., 1978, t. 30, 1978, p. 1206-1214. Zbl0368.47006MR511557
- [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] 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] H.L. Royden, Real analysis, 2nd ed, MacMillan Co, New York, 1968. Zbl0197.03501MR1013117
- [12] M. Srebrny, Measurable selectors of PCA multifunctions with applications. Mem. Amer. Math. Soc., t. 52, n° 311, 1984. Zbl0567.28005MR764317
- [13] A.R. Sourour, The isometries of Lp (Ω, X). Journal of Functional Analysis, t. 30, 1978, p. 276-285. Zbl0396.47020MR515230
- [14] A. De La Torre, A simple proof of the maximal ergodic theorem. Can. J. Math., t. 28, 1976, p. 1073-1075. Zbl0336.47006MR417819