×

Espaces fonctionnels et théorèmes de I. Namioka. (French) Zbl 0415.28017


MSC:

28D10 One-parameter continuous families of measure-preserving transformations
54H20 Topological dynamics (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI Numdam EuDML

References:

[1] BOURBAKI (N.) . - Topologie générale . Chap. 1-2. - Paris, Hermann, 1965 (Act. scient. et ind., 1142, Bourbaki, 2). Zbl 0102.37603 · Zbl 0102.37603
[2] BOURBAKI (N.) . - Topologie générale . Chap. 9. - Paris, Hermann, 1958 (Act. scient. et ind., 1045 ; Bourbaki, 8). · Zbl 0337.54001
[3] BOURBAKI (N.) . - Topologie générale . Chap. 10. - Paris, Hermann, 1967 (Act. scient. et ind., 1084 ; Bourbaki, 10). · Zbl 0337.54001
[4] BOURBAKI (N.) . - Espaces vectoriels topologiques . Chap. 4. - Paris, Hermann, 1967 (Act. scient. et ind., 1229 ; Bourbaki, 18). · Zbl 0042.35302
[5] ELLIS (R.) . - Locally compact transformation groups , Duke math. J., t. 24, 1957 , p. 119-125. Article | MR 19,561b | Zbl 0079.16602 · Zbl 0079.16602 · doi:10.1215/S0012-7094-57-02417-1
[6] ELLIS (R.) . - A note on the continuity of the inverse . Proc. Amer. math. Soc., t. 8, 1957 , p. 372-373. MR 18,745d | Zbl 0079.04104 · Zbl 0079.04104 · doi:10.2307/2033747
[7] ELLIS (R.) . - Lectures on topological dynamics . - New York, Benjamin, 1969 (Mathematics Lecture Note Series). MR 42 #2463 | Zbl 0193.51502 · Zbl 0193.51502
[8] FURSTENBERG (H.) . - The structure of distal flows , Amer. J. Math., t. 85, 1963 , p. 477-515. MR 28 #602 | Zbl 0199.27202 · Zbl 0199.27202 · doi:10.2307/2373137
[9] GLASNER (S.) . - Proximal flows . - Berlin and New York, Springer Verlag, 1976 (Lecture Notes in Mathematics, 517). MR 57 #13890 | Zbl 0322.54017 · Zbl 0322.54017 · doi:10.1007/BFb0080139
[10] GROTHENDIECK (A.) . - Critères de compacité dans les espaces fonctionnels généraux , Amer. J. Math., t. 74, 1952 , p. 168-186. MR 13,857e | Zbl 0046.11702 · Zbl 0046.11702 · doi:10.2307/2372076
[11] HAHN (F.) . - A fixed-point theorem , Math. Systems Theory, t. 1, 1968 , p. 55-57. MR 34 #8202 | Zbl 0143.36901 · Zbl 0143.36901 · doi:10.1007/BF01692496
[12] HANSEL (G.) et TROALLIC (J.-P.) . - Démonstration du théorème de Ryll-Nardzewski par extension de la méthode de F. Hahn , C. R. Acad. Sc. Paris, t. 282, 1976 Série A, p. 857-859. MR 54 #8602 | Zbl 0335.47038 · Zbl 0335.47038
[13] MAYNARD (H. B.) . - A geometrical characterization of Banach spaces with the Radon-Nikodym property , Trans. Amer. math. Soc., t. 185, 1973 , p. 493-500. MR 52 #6382 | Zbl 0278.46040 · Zbl 0278.46040 · doi:10.2307/1996453
[14] NAMIOKA (I.) and ASPLUND (E.) . - A geometric proof of Ryll-Nardzewski’s fixed point theorem , Bull. Amer. math. Soc., t. 73, 1967 , p. 443-445. Article | MR 35 #799 | Zbl 0177.40404 · Zbl 0177.40404 · doi:10.1090/S0002-9904-1967-11779-8
[15] NAMIOKA (I.) . - Right topological groups, distal flows, and a fixed point theorem , Math. Systems Theory, t. 6, 1972 , p. 193-209. MR 47 #5166 | Zbl 0239.22001 · Zbl 0239.22001 · doi:10.1007/BF01706088
[16] NAMIOKA (I.) . - Separate continuity and joint continuity , Pacific. J. of Math., t. 51, 1974 , p. 515-531. Article | MR 51 #6693 | Zbl 0294.54010 · Zbl 0294.54010 · doi:10.2140/pjm.1974.51.515
[17] RYLL-NARDZEWSKI (C.) . - On fixed points of semi-groups of endomorphisms of linear spaces, ”Proceedings of the 5th Berkeley Symposium on mathematical Statistics and Probability” , 1965 - 1966 [Berkeley], vol. 2, part 1, p. 55-61. - Berkeley, University of California Press, 1967 . Zbl 0189.17501 · Zbl 0189.17501
[18] TROALLIC (J.-P.) . - Fonctions à valeurs dans des espaces fonctionnels généraux : Théorèmes de R. Ellis et de I . Namioka, C. R. Acad. Sc. Paris., t. 287, 1978 , Série A, p. 63-66. MR 80d:54012 | Zbl 0394.54008 · Zbl 0394.54008
[19] VEECH (W. A.) . - A fixed point theorem-free approach to weak almost periodicity , Trans. Amer. math. Soc., t. 177, 1973 , p. 353-362. MR 49 #7998 | Zbl 0286.43009 · Zbl 0286.43009 · doi:10.2307/1996602
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.