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Fastperiodizitätseigenschaften allgemeiner Halbgruppen in Banach-Räumen

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ReferenceLiteratur

  1. Alaoglu, L., andG. Birkhoff: General ergodic theorems. Ann. of Math.41, 293–309 (1940).

    Google Scholar 

  2. Birkhoff, G.: An ergodic theorem for general semigroups. Proc. Nat. Acad. Sci. U. S. A.25, 625–627 (1939).

    Google Scholar 

  3. Bourbaki, N.: Espaces vectoriels topologiques. Paris 1953.

  4. Day, M. M.: Reflexive spaces not isomorphic to uniformly convex spaces. Bull. Amer. Math. Soc.47, 313–317 (1941).

    Google Scholar 

  5. Day, M. M.: Ergodic theorems for abelian semigroups. Trans. Amer. Math. Soc.51, 399–412 (1942).

    Google Scholar 

  6. Day, M. M.: Uniform convexity in factor and conjugate spaces. Ann. of Math.45, 375–385 (1944).

    Google Scholar 

  7. Day, M. M.: Means for the bounded functions and ergodicity of the bounded representations of semi-groups. Trans. Amer. Math. Soc.69, 276–291 (1950).

    Google Scholar 

  8. Dunford, N., andS. Miller: On the ergodic theorem. Trans. Amer. Math. Soc.60, 538–549 (1946).

    Google Scholar 

  9. Eberlein, W. F.: Abstract ergodic theorems and weakly almost periodic functions. Trans. Amer. Math. Soc.67, 217–250 (1949).

    Google Scholar 

  10. Godement, R.: Les fonctions de type positif et la théorie des groupes. Trans. Amer. Math. Soc.63, 1–84 (1948).

    Google Scholar 

  11. Jacobs, K.: Periodizitätseigenschaften beschränkter Gruppen im Hilbertschen Raum. Math. Z.61, 408–428 (1955).

    Google Scholar 

  12. Jacobs, K.: Ergodentheorie und fastperiodische Funktionen auf Halbgruppen. Math. Z.64, 298–338 (1956).

    Google Scholar 

  13. Keiner, H.: Verallgemeinerte fastperiodische Funktionen anf Halbgruppen. Arch. Math. 1957.

  14. Lorch, E. R.: Means of iterated transformations in reflexive vector spaces. Bull. Amer. Math. Soc.45, 945–947 (1939).

    Google Scholar 

  15. Maak, W.: Fastperiodische Funktionen auf Halbgruppen. Acta mathematica87, 33–57 (1952).

    Google Scholar 

  16. Maak, W.: Integralmittelwerte von Funktionen auf Gruppen und Halbgruppen. J. reine u. angew. Math.190, 34–48 (1952).

    Google Scholar 

  17. Sz.-Nagy, B.: Spektraldarstellungen linearer Transformationen des Hilbertschen Raumes. Berlin 1942.

  18. Pettis: A proof that every uniformly convex space is reflexive. Duke Math. J.5, 249–253 (1939).

    Google Scholar 

  19. Riesz, F.: Some mean ergodic theorems. J. London Math. Soc.13, 274–278 (1938).

    Google Scholar 

  20. Riesz, F.: Sur la théorie ergodique des espaces abstraits. Acta Sci. Math. Szeged10, 1–20 (1941).

    Google Scholar 

  21. Riesz, F.: Another proof of the mean ergodic theorem. Acta Sci. Math. Szeged10, 75–76 (1941).

    Google Scholar 

  22. Riesz, F., u.B. Sz.-Nagy: Lecons d'analyse fonctionnelle. Budapest 1952.

  23. Yosida, K., andS. Kakutani: Operator-theoretical treatment of Markoff process and mean ergodic theorem. Ann. of Math.42, 188–228 (1941).

    Google Scholar 

  24. Dixmier, J.: Les moyennes invariantes daus les semi-groupes et leurs applications. Acta Sci. Math. Szeged12, 213–227 (1950).

    Google Scholar 

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Jacobs, K. Fastperiodizitätseigenschaften allgemeiner Halbgruppen in Banach-Räumen. Math Z 67, 83–92 (1957). https://doi.org/10.1007/BF01258845

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