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On random ergodic theorems for a random quasi-semigroup of linear contractions. (English) Zbl 0245.28013

MSC:
28D05 Measure-preserving transformations
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[1] N. Dunford: Integration and 1 linear operations. Trans. Amer. Math. Soc, 40, 474-494 (1936). JSTOR: · Zbl 0015.30502
[2] N. Dunford and J. T. Schwartz: Convergence almost everywhere of operator averages. Jour. Rational Mech. and Anal., 5, 129-178 (1956). · Zbl 0075.12102
[3] U. Krengel: A local ergodic theorem. Inventiones Math., 6, 329-333 (1969). · Zbl 0165.37402
[4] D. Ornstein: The Sums of Iterates of a Positive Operator. Advances in Probability and Related Topics, Vol. 2 (edited by P. Ney, Marcel Dekker Inc.), 85-115 (1970). · Zbl 0321.28013
[5] T. M. Terrell: Local Ergodic Theorems for N-parameter Semigroups of Operators. Contributions to Ergodic Theory and Probability, 262-278. Springer-Verlag (1970). · Zbl 0204.45406
[6] S. Tsurumi: A Random Ergodic Theorem. Ergodic Theory (edited by F. B. Wright) 259-271. Academic Press (1963). · Zbl 0144.39501
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