On invariant functions and ergodic measures of Markov operators on C(X)
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Ryszard Rębowski (1987)
Colloquium Mathematicae
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Ryszard Rudnicki (1988)
Annales Polonici Mathematici
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Wojciech Bartoszek (1987)
Colloquium Mathematicae
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Martin Kern, Rainer Nagel, G. Palm (1977)
Mathematische Zeitschrift
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Ryszard Rębowski (1987)
Colloquium Mathematicae
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Ryotaro Sato (1994)
Publicacions Matemàtiques
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Let P1, ..., Pd be commuting Markov operators on L∞(X,F,μ), where (X,F,μ) is a probability measure space. Assuming that each Pi is either conservative or invertible, we prove that for every f in Lp(X,F,μ) with 1 ≤ p < ∞ the averages
Anf = (n + 1)-d Σ0≤ni≤n P1
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
Laurian Suciu (2009)
Studia Mathematica
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We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study...
Georges Hansel (1973/74)
Mathematische Zeitschrift
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R. M. Phatarfod (1983)
Applicationes Mathematicae
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Elmouloudi Ed-dari (2003)
Studia Mathematica
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We improve a recent result of T. Yoshimoto about the uniform ergodic theorem with Cesàro means of order α. We give a necessary and sufficient condition for the (C,α) uniform ergodicity with α > 0.
Roberts, Gareth O., Rosenthal, Jeffrey S. (1997)
Electronic Communications in Probability [electronic only]
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Keilson, Julian (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Christoph Kopf (1977)
Mathematische Zeitschrift
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Jones, Galin L. (2004)
Probability Surveys [electronic only]
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