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Blum, J.R., Hanson, D.L.: On the mean ergodic theorem for subsequences. Bull. Amer. math. Soc. 66, 308–311 (1960).
Dunford, N., Schwartz, J.: Linear operators, Part I. New York: Interscience 1958.
Foguel, S.R.: Powers of a contraction in Hubert space. Pacific J. Math. 13, 551–562 (1963).
—: The ergodic theory of Markov processes. New York: Van Nostrand 1969.
Horowitz, S.: Some limit theorems for Markov processes. Israel J. Math. 6, 107–118 (1968).
—: Strong ergodic theorems for Markov processes. Proc. Amer. math. Soc. 23, 328–334 (1969).
Jamison, B., Orey, S.: Markov chains recurrent in the sense of Harris. Z. Wahrscheinlichkeitstheorie verw. Geb. 8, 41–48 (1967).
Krengel, U., Sucheston, L.: On mixing in infinite measure spaces. Z. Wahrscheinlichkeitstheorie verw. Geb. 13, 150–164 (1969).
Neveu, J.: Mathematical foundations of the calculus of probability. San Francisco: Holden-Day 1965.
Parry, W.: Ergodic and spectral analysis of certain infinite measure preserving transformations. Proc. Amer. math. Soc. 16, 960–966 (1965).
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This paper is a part of the author's Ph. D. thesis prepared at The Hebrew University of Jerusalem under the direction of Professor S. R. Foguel, to whom the author is grateful for his helpful advice and kind encouragement.
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Lin, M. Mixing for Markov operators. Z. Wahrscheinlichkeitstheorie verw Gebiete 19, 231–242 (1971). https://doi.org/10.1007/BF00534111
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DOI: https://doi.org/10.1007/BF00534111