Ergodic theorems for Abelian semigroups
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- by Mahlon Day
- Trans. Amer. Math. Soc. 51 (1942), 399-412
- DOI: https://doi.org/10.1090/S0002-9947-1942-0006614-3
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References
- R. P. Agnew and A. P. Morse, Extensions of linear functionals, with applications to limits, integrals, measures, and densities, Ann. of Math. (2) 39 (1938), no. 1, 20–30. MR 1503385, DOI 10.2307/1968710
- Leon Alaoglu, Weak topologies of normed linear spaces, Ann. of Math. (2) 41 (1940), 252–267. MR 1455, DOI 10.2307/1968829
- L. Alaoglu and G. Birkhoff, General ergodic theorems, Ann. of Math. (2) 41 (1940), 293–309. MR 2026, DOI 10.2307/1969004 S. Banach, Théorie des Opérations Linéaires, Monografje Matematiczne, Warsaw, 1932.
- Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, DOI 10.2307/1968508
- L. W. Cohen, On the mean ergodic theorem, Ann. of Math. (2) 41 (1940), 505–509. MR 2027, DOI 10.2307/1968732
- Nelson Dunford, A mean ergodic theorem, Duke Math. J. 5 (1939), 635–646. MR 98 G. Fichtenholz and L. Kantorovich, Sur les opérations dans l’espace des functions bornées, Studia Mathematica, vol. 5 (1934), pp. 69-98.
- Shizuo Kakutani, Weak topology and regularity of banach spaces, Proc. Imp. Acad. Tokyo 15 (1939), 169–173. MR 351
- Edgar R. Lorch, Means of iterated transformations in reflexive vector spaces, Bull. Amer. Math. Soc. 45 (1939), 945–947. MR 1460, DOI 10.1090/S0002-9904-1939-07122-X S. Mazur, Über konvexe Mengen in linearen normierten Räumen, Studia Mathematica, vol. 4 (1933), pp. 70-84. F. Riesz, Some mean ergodic theorems, Journal of the London Mathematical Society, vol. 13 (1938), pp. 274-278. V. Šmulian, Sur les topologies différents dans l’espace de Banach, Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, vol. 23 (1939), pp. 331-334.
- John V. Wehausen, Transformations in linear topological spaces, Duke Math. J. 4 (1938), no. 1, 157–169. MR 1546041, DOI 10.1215/S0012-7094-38-00412-0 K. Yosida, Mean ergodic theorems in Banach spaces, Proceedings of the Imperial Academy, Tokyo, vol. 14 (1939), pp. 292-294.
Bibliographic Information
- © Copyright 1942 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 51 (1942), 399-412
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1942-0006614-3
- MathSciNet review: 0006614