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Proceedings of the American Mathematical Society

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Iterates of conditional expectation operators


Authors: D. L. Burkholder and Y. S. Chow
Journal: Proc. Amer. Math. Soc. 12 (1961), 490-495
MSC: Primary 60.05; Secondary 60.30
DOI: https://doi.org/10.1090/S0002-9939-1961-0142144-3
MathSciNet review: 0142144
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References [Enhancements On Off] (What's this?)

  • [1] J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Limited, London, 1953. MR 0058896
  • [2] Nelson Dunford and J. T. Schwartz, Convergence almost everywhere of operator averages, J. Rational Mech. Anal. 5 (1956), 129–178. MR 0077090
  • [3] -, Linear operators, part 1, New York, Interscience, 1958.
  • [4] L. Fejér, La convergence sur son cercle de convergence d'une série de puissance effectuant une représentation conforme du cercle sur le plan simple, C. R. Acad. Sci. Paris vol. 156 (1913) pp. 46-49.
  • [5] J. von Neumann, Functional operators, vol. 2, Princeton University Press, 1950.

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DOI: https://doi.org/10.1090/S0002-9939-1961-0142144-3
Article copyright: © Copyright 1961 American Mathematical Society