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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
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Category: math
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MSC: 28A65
MSC: 28D05
MSC: 47A35
idZBL: Zbl 0358.47006
idMR: MR0492183
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Date available: 2008-06-05T20:55:13Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/105787
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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
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