Ergodic theorems of Birkhoff-Khintchine's type
Author:
Affiliation:
1. Mathematical Institute, Osaka Imperial University
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/jjm1924/17/0/17_0_31/_pdf
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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