Geodesic
Non-uniform Kozlov--Treschev averagings in the ergodic theorem
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 3, pp. 393-425

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Generalizations and refinements are given for results of Kozlov and Treschev on non-uniform averagings in the ergodic theorem in the case of operator semigroups on spaces of integrable functions and semigroups of measure-preserving transformations. Conditions on the averaging measures are studied under which the averages converge for broad classes of integrable functions. Bibliography: 96 items.
Keywords: ergodic theorem, operator semigroup, averaging of a semigroup. 
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     author = {V. I. Bogachev},
     title = {Non-uniform {Kozlov--Treschev} averagings in the ergodic theorem},
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     url = {http://geodesic.mathdoc.fr/item/RM_2020_75_3_a0/}
}
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V. I. Bogachev. Non-uniform Kozlov--Treschev averagings in the ergodic theorem. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 3, pp. 393-425. http://geodesic.mathdoc.fr/item/RM_2020_75_3_a0/