| Title:
|
Эргодическая теорема в линейных полуупорядоченных пространствах с абстрактной нормой (Russian) |
| Title:
|
Ergodic theorem in complete vector lattices with abstract norm (English) |
| Author:
|
Winkelbauer, Karel |
| Language:
|
Russian |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
8 |
| Issue:
|
1 |
| Year:
|
1958 |
| Pages:
|
1-21 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
47.20 |
| idZBL:
|
Zbl 0115.33803 |
| idMR:
|
MR0124750 |
| DOI:
|
10.21136/CMJ.1958.100274 |
| . |
| Date available:
|
2008-06-09T12:56:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100274 |
| . |
| Reference:
|
[1] G. D. Birkhoff: Proof of the ergodic theorem.Proc. Nat. Acad. Sci. U. S. A., vol. 17 (1931), 656-660. Zbl 0003.25602, 10.1073/pnas.17.2.656 |
| Reference:
|
[2] A. Khintchine (Хинчин): Zur Birkhoffs Lösung des Ergodenproblems.Math. Ann. 107 (1933). 10.1007/BF01448905 |
| Reference:
|
[3] G. Birkhoff: Dependent probabilities and the space (L).Proc. Nat. Acad. Sci. U. S. A., vol. 24 (1938), 154-159. 10.1073/pnas.24.3.154 |
| Reference:
|
[4] S. Kakutani: Concrete representation of abstract (L)-spaces and the mean ergodic theorem.Ann. Math., vol. 42 (1941), 523-537. Zbl 0027.11102, MR 0004095, 10.2307/1968915 |
| Reference:
|
[5] G. Birkhoff: Lattice theory.Rev. ed. 1951. |
| Reference:
|
[6] Л. В. Канторович Б. 3. Byлих А. Г. Пинскер: Функциональный анализ в полуупорядоченных пространствах.Москва-Ленинград 1950. |
| Reference:
|
[7] Hidegorô Nakano: Ergodic theorems in semi-ordered linear spaces.Ann. Math., vol. 49 (1948), 538-556. MR 0029112, 10.2307/1969044 |
| . |
