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Ein Ergodensatz für beschränkte Gruppen im Hilbertschen Raum. (German) Zbl 0057.09701


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[1] G. Birkhoff: An ergodic theorem for general semigroups. Proc. Nat. Acad. Sci. (USA)25 (1939), S. 625-627. · Zbl 0022.36102 · doi:10.1073/pnas.25.12.625
[2] F. Riesz: Some mean ergodic theorems. Journal London Math. Soc.8 (1938), S. 274-278. · Zbl 0019.41402 · doi:10.1112/jlms/s1-13.4.274
[3] W. Maak: Fastperiodische Funktionen. Berlin 1950.
[4] W. Maak: Integralmittelwerte von Funktionen auf Gruppen und Halbgruppen. Journal f. d. reine und angewandte Mathematik190 (1952), S. 34-48. · Zbl 0046.31101 · doi:10.1515/crll.1952.190.34
[5] R. Godement: Les fonctions de type positif et la théorie des groupes. Trans. Amer. Math. Soc.63 (1948), S. 1-84. · Zbl 0031.35903
[6] W. F. Eberlein: Abstract ergodic theorems and week almost periodic functions. Trans. Amer. Math. Soc.67 (1949), S. 217-240. · Zbl 0034.06404 · doi:10.1090/S0002-9947-1949-0036455-9
[7] M. M. Day: Means for the bounded functions and Ergodicity of the bounded representations of semigroups. Trans. Amer. Math. Soc.69 (1950), S. 276-291. · Zbl 0039.12301
[8] B. v. Sz.-Nagy: Spektraldarstellung linearer Transformationen desHilbertschen Raumes. Berlin 1942. · JFM 68.0241.01
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