Ergodic properties of bounded $L_{1}$-operators
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- by Ryōtarō Satō
- Proc. Amer. Math. Soc. 39 (1973), 540-546
- DOI: https://doi.org/10.1090/S0002-9939-1973-0414828-9
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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.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- 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