On the maximal ergodic theorem for Abel-limits
Author:
Gian-Carlo Rota
Journal:
Proc. Amer. Math. Soc. 14 (1963), 722-723
MSC:
Primary 28.70
DOI:
https://doi.org/10.1090/S0002-9939-1963-0156943-7
MathSciNet review:
0156943
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References | Similar Articles | Additional Information
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- [2] R.Chacón, An ergodic theorem for operators satisfying norm conditions, J. Math. Mech. 11 (1962), 165-172. MR 0147619 (26:5134)
- [3] N. Dunford and J. Schwartz, Linear operators. I, Interscience, New York, 1958.
- [4] P. R. Halmos, Lectures on ergodic theory, The Mathematical Society of Japan, 1956 (reprinted by Chelsea, New York, 1960). MR 0097489 (20:3958)
- [5] E. Hille and R. S. Phillips, Functional analysis and semigroups, Amer. Math. Soc. Colloq. Publ. Vol. 31, rev. ed., Amer. Math. Soc., Providence, R. I., 1957. MR 0089373 (19:664d)
- [6] E. Hopf, On the ergodic theorem for positive linear operators, J. Reine Angew. Math. 205 (1960), 101-106. MR 0125937 (23:A3234)
- [7] K. Jacobs, Neuere Methoden und Ergebnisse der Ergodentheorie, Springer, Heidelberg, 1960. MR 0123676 (23:A1000)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1963-0156943-7
Article copyright:
© Copyright 1963
American Mathematical Society