An ergodic theorem for semigroups
Authors:
M. A. Akcoglu and J. Cunsolo
Journal:
Proc. Amer. Math. Soc. 24 (1970), 161-170
MSC:
Primary 28.70
DOI:
https://doi.org/10.1090/S0002-9939-1970-0248326-X
MathSciNet review:
0248326
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References | Similar Articles | Additional Information
- M. A. Akcoglu, An ergodic lemma, Proc. Amer. Math. Soc. 16 (1965), 388–392. MR 179325, DOI https://doi.org/10.1090/S0002-9939-1965-0179325-2
- M. A. Akcoglu, Pointwise ergodic theorems, Trans. Amer. Math. Soc. 125 (1966), 296–309. MR 230876, DOI https://doi.org/10.1090/S0002-9947-1966-0230876-7
- Kenneth N. Berk, Ergodic theory with recurrent weights, Ann. Math. Statist. 39 (1968), 1107–1114. MR 229793, DOI https://doi.org/10.1214/aoms/1177698235
- Antoine Brunel, Sur un lemme ergodique voisin du lemme de E. Hopf, et sur une de ses applications, C. R. Acad. Sci. Paris 256 (1963), 5481–5484 (French). MR 152633
- R. V. Chacon and D. S. Ornstein, A general ergodic theorem, Illinois J. Math. 4 (1960), 153–160. MR 110954
- Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162 H. Fong, A continuous analogue of the Chacon-Ornstein theorem (to appear).
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© Copyright 1970
American Mathematical Society