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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Markov process which gives rise to a semigroup of expansive operators
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by T. F. Lin PDF
Proc. Amer. Math. Soc. 54 (1976), 337-341 Request permission

Abstract:

Conditional expectation in a finite complex measure space $(M,\mathcal {B},Q)$ with $Q(M) = 1$ is studied. A Markov process which gives rise to a semigroup of expansive operators is constructed.
References
  • Kai Lai Chung, A course in probability theory, Harcourt, Brace & World, Inc., New York, 1968. MR 0229268
  • E. B. Dynkin, Markovskie protsessy, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1963 (Russian). MR 0193670
  • I. I. Gikhman and A. V. Skorokhod, Introduction to the theory of random processes, W. B. Saunders Co., Philadelphia, Pa.-London-Toronto, Ont., 1969. Translated from the Russian by Scripta Technica, Inc. MR 0247660
  • K. R. Parthasarathy, Probability measures on metric spaces, Probability and Mathematical Statistics, No. 3, Academic Press, Inc., New York-London, 1967. MR 0226684
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 337-341
  • MSC: Primary 60J35
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0410951-6
  • MathSciNet review: 0410951