Ordinary means imply recurrent means

Author:
R. V. Chacon

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

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.**Glen Baxter,*An ergodic theorem with weighted averages*, J. Math. Mech.**13**(1964), 481–488. MR**0165070****3.**Glen Baxter,*An ergodic theorem with weighted averages*, J. Math. Mech.**13**(1964), 481–488. MR**0165070****4.**R. V. Chacon and D. S. Ornstein,*A general ergodic theorem*, Illinois J. Math.**4**(1960), 153–160. MR**0110954****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**0025098**, 10.1090/S0002-9947-1948-0025098-8**6.**A. Garsia and S. Sawyer,*Remarks on the ergodic theorem with weighted averages*(to appear).**7.**Gian-Carlo Rota,*On the maximal ergodic theorem for Abel-limits*, Proc. Amer. Math. Soc.**14**(1963), 722–723. MR**0156943**, 10.1090/S0002-9939-1963-0156943-7

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