Ordinary means imply recurrent means

Author:
R. V. Chacon

Journal:
Bull. Amer. Math. Soc. **70** (1964), 796-797

DOI:
https://doi.org/10.1090/S0002-9904-1964-11240-4

MathSciNet review:
0168720

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References | Additional Information

**1.**L. Baez-Duarte,*An ergodic theorem of Abelian type*, Abstract 64T-336, Notices Amer. Math. Soc. 11 (1964), 467.**2.**G. Baxter,*An ergodic theorem with weighted averages*, J. Math. Mech. 13 (1964), 481-488. MR**165070****3.**G. Baxter,*A general ergodic theorem with weighted averages*, Abstract 64T-326, Notices Amer. Math. Soc. 11 (1964), 464. MR**165070****4.**R. V. Chacon and D. S. Ornstein,*A general ergodic theorem*, Illinois J. Math. 4 (1960), 153-160. MR**110954****5.**J. L. Doob,*Renewal theory from the point of view of the theory of probability*, Trans. Amer. Math. Soc. 63 (1948), 422-438. MR**25098****6.**A. Garsia and S. Sawyer,*Remarks on the ergodic theorem with weighted averages*(to appear).**7.**G.-C. Rota,*On the maximal ergodic theorem for Abel-limits*, Proc. Amer. Math. Soc. 14 (1963), 722-723. MR**156943**

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1964-11240-4