On a general ratio ergodic theorem with weighted averages
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- by Ryōtarō Satō
- Proc. Amer. Math. Soc. 35 (1972), 177-178
- DOI: https://doi.org/10.1090/S0002-9939-1972-0303317-7
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Abstract:
A general ratio ergodic theorem with weighted averages is shown by utilizing a method of R. V. Chacon. The theorem contains Chacon’s general ergodic theorem as a special case.References
- R. V. Chacon, Operator averages, Bull. Amer. Math. Soc. 68 (1962), 351–353. MR 142718, DOI 10.1090/S0002-9904-1962-10805-2
- R. V. Chacon, Ordinary means imply recurrent means, Bull. Amer. Math. Soc. 70 (1964), 796–797. MR 168720, DOI 10.1090/S0002-9904-1964-11240-4
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 177-178
- MSC: Primary 47A35; Secondary 28A65
- DOI: https://doi.org/10.1090/S0002-9939-1972-0303317-7
- MathSciNet review: 0303317