Ergodic theorems of Birkhoff-Khintchine's type

Author:

YOSIDA Kôsaku1

Affiliation:

1. Mathematical Institute, Osaka Imperial University

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Reference18 articles.

1. (1) If p>1, (3) is also superflous. See the remark 3 on page 36.

2. (2) See, for example, E. Hopf's book: “Ergodentheorie”, (1937).

3. (3) K. Yosida: Mean ergodic theorem in Banach spaces, Proc. Imp. Acad. Japan, 14 (1938), 286-294.

4. (3) S. Kakutani: Iteration of linear operation in complex Banach spaces, 14 (1938), 295-298.

5. (3) F. Riesz: Some mean ergodic theorems, Journ. London Math. Soc., 13 (1938), 274-278.

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1. Ergodic Theorems;Mathematics of Complexity and Dynamical Systems;2012

2. Ergodic Theorems;Encyclopedia of Complexity and Systems Science Series;2009

3. Pointwise Ergodic Theorems;Ergodic Theorems for Group Actions;1992

4. Measurable Transformations;Selecta Expository Writing;1983

5. Measurable transformations;Bulletin of the American Mathematical Society;1949

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