The Hahn-Banach theorem implies Sine’s mean ergodic theorem
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- by Ryōtarō Satō
- Proc. Amer. Math. Soc. 77 (1979), 426
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545609-9
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Abstract:
Using the Hahn-Banach theorem, a simple proof of Sine’s mean ergodic theorem is given.References
- Stuart P. Lloyd, On the mean ergodic theorem of Sine, Proc. Amer. Math. Soc. 56 (1976), 121–126. MR 451007, DOI 10.1090/S0002-9939-1976-0451007-6
- Rainer J. Nagel, Mittelergodische Halbgruppen linearer Operatoren, Ann. Inst. Fourier (Grenoble) 23 (1973), no. 4, 75–87 (German, with English and French summaries). MR 346558, DOI 10.5802/aif.483
- Ry\B{o}tar\B{o} Sat\B{o}, On abstract mean ergodic theorems, Tohoku Math. J. (2) 30 (1978), no. 4, 575–581. MR 516890, DOI 10.2748/tmj/1178229917
- Robert Sine, A mean ergodic theorem, Proc. Amer. Math. Soc. 24 (1970), 438–439. MR 252605, DOI 10.1090/S0002-9939-1970-0252605-X
Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 426
- MSC: Primary 47A35
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545609-9
- MathSciNet review: 545609