Isométries positives et propriétés ergodiques de quelques espaces de Banach

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1. [1] S. Banach, Théorie des opérations linéaires, Monogr. Mat., Varsovie, 1932. Zbl0005.20901
2. [2] B. Bru, Espérance d'ordre, C. R. A. S., Paris, t. 290, 1980, p. 111-114. Zbl0426.60004MR563951
3. [3] H. Heinich, Localisation et Mesures vectorielles, à paraître, 1979. 
4. [4] A. Tonescu Tulcea, Ergodic Properties of isometries in Lp spaces, 1 < p < ∞, Bull. A. M. S., t. 70, 1964, p. 366-371. Zbl0185.29003
5. [5] M.A. Krasnoselskii et Ya.B. Rutickii, Convex functions and Orlicz spaces, Noordhoff, Groningen, 1961. Zbl0095.09103MR126722
6. [6] J. Lamperti, On the isometries of certain function spaces, Pacific J. Math., t. 8, 1958, p. 459-466. Zbl0085.09702MR105017
7. [7] J. Lindenstrauss et L. Tzafriri, Classical Banach Spaces II, Springer-Verlag, Berlin, Heidelberg, New York, 1979. Zbl0403.46022MR540367
8. [8] W.A.J. Luxemburg et A.C. Zaanen, Riesz Spaces I, North-Holland, Amsterdam, Londres, 1971. Zbl0231.46014MR511676
9. [9] B. Marcus et K. Petersen, Balancing ergodic averages, Lecture Notes in Math., t. 729, Springer-Verlag, Berlin, Heidelberg, New York, 1979, p. 126-143. Zbl0429.28018MR550416
10. [10] J. Neveu, Martingales à temps discret, Masson, Paris, 1972. MR402914
11. [11] D. Ornstein, A remark on the Birkhoff ergodic theorem, Ill. J. Math., t. 15, 1971, p. 77-79. Zbl0212.40102MR274719
12. [12] H.H. Schaeffer, Banach lattices and positive operators, Springer-Verlag, Berlin, Heidelberg, New York, 1974. Zbl0296.47023
13. [13] E.M. Stein, Note on the class L log L, Studia Math., t. 32, 1969, p. 305-310. Zbl0182.47803MR247534
14. [14] N. Wiener, The ergodic theorem, Duke Math. J., t. 5, 1939, p. 1-18. Zbl0021.23501JFM65.0516.04
15. [15] A. Bellow, An Lp inequality with application to ergodic theory, Houston, J. Math., t. 1, 1975, p. 153-159. Zbl0313.47004MR385070
16. [16] F.E. Browder, On a theorem of Beurling and Livingston, Can. J. Math., t. 17, 1965, p. 367-372. Zbl0132.10602MR176320
17. [17] N. Herrndorf, Counterexamples to Results of M. M. Rao, Z. f. W. Band 53, Heft, t. 3, 1980, p. 283-290. Zbl0424.60049MR586020
18. [18] A. Millet, Thèse d'État, Paris, 1979. 

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