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Affine flows and distal points. (English) Zbl 0505.46006


MSC:

46A55 Convex sets in topological linear spaces; Choquet theory
47H10 Fixed-point theorems
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
46A50 Compactness in topological linear spaces; angelic spaces, etc.
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References:

[1] Auslander, L., Hahn, F.: Real functions coming from flows on compact spaces and concept of almost periodicity. Trans. Amer. Math. Soc.106, 415-426 (1963) · Zbl 0118.38904
[2] Ellis, R.: Distal transformation groups. Pacific J. Math.8, 401-405 (1958) · Zbl 0092.39702
[3] Furstenberg, H.: The structure of distal flows. Amer. J. Math.85, 477-515 (1963) · Zbl 0199.27202
[4] Glasner, S.: Compressibility properties in topological dynamics. Amer. J. Math.97, 148-171 (1975) · Zbl 0298.54023
[5] Hansel, G., Troallic, J.-P.: Démonstration du théorème de point fixe de Ryll-Nardzewski par extension de la méthode de F. Hahn. C.R. Acad. Sc. Paris Ser. A-B282, 857-859 (1976) · Zbl 0335.47038
[6] Knapp, A.W.: Distal functions on groups. Trans. Amer. Math. Soc.128, 1-40 (1967) · Zbl 0154.33702
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[8] Namioka, I.: Separate continuity and jointcontinuity. Pacific J. Math.51, 515-531 (1974) · Zbl 0294.54010
[9] Namioka, I., Asplund, E.: A geometric proof of Ryll-Nardzewski’s fixed point theorem. Bull. Amer. Math. Soc.73, 443-445 (1967) · Zbl 0177.40404
[10] Pettis, J.B.: On Nikaidô’s proof of the invariant mean-value theorem. Studia Math.33, 193-196 (1969) · Zbl 0179.47003
[11] Ryll-Nardzewski, C.: On fixed points of semigroups of endomorphisms of linear spaces. Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, California 1965/66), Vol II, Part I, pp. 55-61. Berkeley-Los Angeles: University of California 1966 · Zbl 0152.21402
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