Title:
|
An Abelian ergodic theorem (English) |
Author:
|
Sato, Ryotaro |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
18 |
Issue:
|
3 |
Year:
|
1977 |
Pages:
|
415-422 |
. |
Category:
|
math |
. |
MSC:
|
28A65 |
MSC:
|
28D05 |
MSC:
|
47A35 |
idZBL:
|
Zbl 0358.47006 |
idMR:
|
MR0492183 |
. |
Date available:
|
2008-06-05T20:55:13Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105787 |
. |
Reference:
|
[1] R. V. CHACON: An ergodic theorem for operators satisfying norm conditions.J. Math. Mech. 11 (1962), 165-172. Zbl 0115.33804, MR 0147619 |
Reference:
|
[2] R. V. CHACON U. KRENGEL: Linear modulus of a linear operator.Proc. Amer. Math. Soc. 15 (1964), 553-559. MR 0164244 |
Reference:
|
[3] Y. DERRIENNIC M. LIN: On invariant measures and ergodic theorems for positive operators.J. Functional Analysis 13 (1973), 252-267. MR 0355001 |
Reference:
|
[4] N. DUNFORD J. T. SCHWARTZ: Linear operators. I. General theory.Interscience, New York, 1958. MR 0117523 |
Reference:
|
[5] S. R. FOGUEL: The ergodic theory of Markov processes.Van Nostrand Reinhold, New York, 1969. Zbl 0282.60037, MR 0261686 |
Reference:
|
[6] R. SATO: Ergodic properties of bounded $L_1$-operators.Proc. Amer. Math. Soc. 39 (1973), 540-546. Zbl 0239.47003, MR 0414828 |
Reference:
|
[7] R. SATO: An individual ergodic theorem.Proc. Amer. Math. Soc. (to appear). Zbl 0614.47009, MR 0450520 |
. |