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Proceedings of the American Mathematical Society

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Ergodic properties of bounded $ L\sb{1}$-operators


Author: Ryōtarō Satō
Journal: Proc. Amer. Math. Soc. 39 (1973), 540-546
MSC: Primary 28A65
DOI: https://doi.org/10.1090/S0002-9939-1973-0414828-9
MathSciNet review: 0414828
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Abstract: Individual ergodic theorems for bounded $ {L_1}$-operators are proved in §1, and the problem of existence of positive invariant functions for positive $ {L_1}$-operators is considered in §2. A decomposition theorem similar to that of Sucheston [12] is proved in the last section.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0414828-9
Keywords: Bounded $ {L_1}$-operator, individual ergodic theorems, positive invariant function
Article copyright: © Copyright 1973 American Mathematical Society

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