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Von Neumann on measure and ergodic theory
Author(s):
Paul R.
Halmos
Journal:
Bull. Amer. Math. Soc.
64
(1958),
Part 2:86-94.
MathSciNet review:
0097294
Retrieve article in:
PDF
References |
Additional information
References:
- 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:
10.1090/S0002-9904-1958-10203-7
PII:
S 0002-9904(1958)10203-7
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