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Mathematische Annalen

, Volume 165, Issue 1, pp 44–61 | Cite as

Über konservative Transformationen

  • Gilbert Helmberg
Article

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Literatur

  1. [1]
    De Bruijn, N. G.: The strong recurrence theorem of ergodic theory. Nicht veröffentlichtes Manuskript (1964).Google Scholar
  2. [2]
    Halmos, P. R.: Measure Theory. New York: Van Nostrand 1956.Google Scholar
  3. [3]
    —— Algebraic Logic, I. Monadic Boolean algebras. Compositio Math.12, 217–249 (1956).Google Scholar
  4. [4]
    - Lectures on ergodic theory. Publications of the Mathematical Society of Japan, No. 3, Tokyo 1956 (New York: Chelsea 1960).Google Scholar
  5. [5]
    Helmberg, G.: Über die Zerlegung einer meßbaren Transformation in konservative und dissipative Bestandteile. Math. Z.88, 358–367 (1965).Google Scholar
  6. [6]
    —— Über rein dissipative Transformationen. Math. Z.90, 41–53 (1965).Google Scholar
  7. [7]
    —— On some transformations related to shift transformations in infinite dyadic product spaces. Nederl. Akad. Wetensch. Proc. Ser. A68 = Indag. Math.27, 803–812 (1965).Google Scholar
  8. [8]
    Jacobs, K.: Neuere Methoden und Ergebnisse der Ergodentheorie. Ergebnisse der Mathematik und ihrer Grenzgebiete. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  9. [9]
    - Lecture notes on ergodic theory. Matematisk Institut, Aarhus Universitet 1962/1963.Google Scholar
  10. [10]
    Kakutani, S.: Induced measure preserving transformations. Proc. Imp. Acad. Sci. Tokyo19, 635–641 (1943).Google Scholar
  11. [11]
    Preisendorfer, R. W., andB. W. Roos: Recurrence-partitions of finite measure spaces with applications to ergodic theory. Trans. Amer. Math. Soc.99, 91–101 (1961).Google Scholar
  12. [12]
    Simons, F. H.: Ein weiterer Beweis eines Zerlegungssatzes für meßbare Transformationen. Math. Z.89, 247–249 (1965).Google Scholar
  13. [13]
    Smit, J. C.: Over “ladder”-transformaties en geïnduceerde transformaties. Notitie Functionaalclub Eindhoven 17 maart 1965.Google Scholar
  14. [14]
    Sucheston, L.: A note on conservative transformations and the recurrence theorem. Amer. J. Math.79, 444–447 (1957).Google Scholar
  15. [15]
    Taam, C. T.: Recurrent properties of conservative measurable transformations. Duke Math. J.28, 277–279 (1961).Google Scholar
  16. [16]
    Wright, F. B.: Recurrence theorems and operators on Boolean algebras. Proc. London Math. Soc. (3)11, 385–401 (1961).Google Scholar
  17. [17]
    —— The recurrence theorem. Amer. Math. Monthly68, 247–248 (1961).Google Scholar
  18. [18]
    —— (editor): Ergodic theory. New York: Academic Press 1963.Google Scholar

Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • Gilbert Helmberg
    • 1
  1. 1.Technische HochschuleEindhoven

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