Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Von Neumann on measure and ergodic theory


Author: Paul R. Halmos
Journal: Bull. Amer. Math. Soc. 64 (1958), 86-94
DOI: https://doi.org/10.1090/S0002-9904-1958-10203-7
MathSciNet review: 0097294
Full-text PDF Free Access

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. G. D. Birkhoff, Proof of the ergodic theorem, Proc. Nat. Acad. Sci. vol. 17 (1931) pp. 656-660.
  • 2. G. D. Birkhoff and B. O. Koopman, Recent contributions to the ergodic theory, Proc. Nat. Acad. Sci. vol. 18 (1932) pp. 279-282.
  • 3. B. O. Koopman, Hamiltonian systems and transformations in Hilbert space, Proc. Nat. Acad. Sci. vol. 17 (1931) pp. 315-318.
  • 4. John von Neumann, Die Zerlegung eines Intervalles in abzählbar viele kongruente Teilmengen, Fund. Math. vol. 11 (1928) pp. 230-238.
  • 5. John von Neumann, Zur allgemeinen Theorie des Masses, Fund. Math. vol. 13 (1929) pp. 73-116.
  • 6. John von Neumann, Zusatz zur Arbeit "Zur allgemeinen Theorie des Masses", Fund. Math. vol. 13 (1929) p. 333.
  • 7. John von Neumann, Algebraische Repräsentanten der Funktionen "bis auf eine Menge vom Masse Null", J. Reine Angew. Math. vol. 165 (1931) pp. 109-115. MR 63776
  • 8. John von Neumann, Proof of the quasi-ergodic hypothesis, Proc. Nat. Acad. Sci. vol. 18 (1932) pp. 70-82.
  • 9. John von Neumann and B. O. Koopman, Dynamical systems of continuous spectra, Proc. Nat. Acad. Sci. vol. 18 (1932) pp. 255-263.
  • 10. John von Neumann, Physical applications of the ergodic hypothesis, Proc. Nat. Acad. Sci. vol. 18 (1932) pp. 263-266.
  • 11. John von Neumann, Einige Sätze über messbare Abbildungen, Ann. of Math. vol. 33 (1932) pp. 574-586. MR 1503077
  • 12. John von Neumann, Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. vol. 33 (1932) pp. 587-642. MR 1503078
  • 13. John von Neumann, Zusätze zur Arbeit "Zur Operatorenmethode...", Ann. of Math. vol. 33 (1932) pp. 789-791. MR 1503096
  • 14. John von Neumann, Zum Haarschen Mass in Topologischen Gruppen, Compositio Math. vol. 1 (1934) pp. 106-114. MR 1556880
  • 15. John von Neumann and M. H. Stone, The determination of representative elements in the residual classes of a Boolean algebra, Fund. Math. vol. 25 (1935) pp. 353-378.
  • 16. John von Neumann, The uniqueness of Haar's measure, Mat. Sbornik vol. 1 (1936) pp. 721-734.
  • 17. John von Neumann, On rings 0f operators. III, Ann. of Math. vol. 41 (1940) pp. 94-161. MR 1067747
  • 18. John von Neumann and P. R. Halmos, Operator methods in classical mechanics, II, Ann. of Math. vol. 43 (1942) pp. 332-350. MR 6617
  • 19. John von Neumann, Functional operators. I. Measures and integrals, Princeton, 1950. MR 32011


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1958-10203-7

American Mathematical Society