Strict Uniformity in Ergodic Theory.
Georges Hansel (1973/74)
Mathematische Zeitschrift
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Georges Hansel (1973/74)
Mathematische Zeitschrift
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Christoph Kopf (1977)
Mathematische Zeitschrift
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Wolfgang Krieger (1968)
Mathematische Zeitschrift
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Yves Derriennic, Bachar Hachem (1988)
Mathematische Zeitschrift
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I. Fleischer, A. Joffe (1995)
Mathematische Zeitschrift
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Martin Kern, Rainer Nagel, G. Palm (1977)
Mathematische Zeitschrift
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F. Hofbauer (1977)
Mathematische Zeitschrift
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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.
Daniel Rudolph (1976)
Mathematische Zeitschrift
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Ralph L. James (1971)
Mathematische Zeitschrift
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Heinrich P. Lotz (1981)
Mathematische Zeitschrift
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Manfred Denker (1973)
Mathematische Zeitschrift
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R. Emilion, B. Hachem (1985)
Mathematische Zeitschrift
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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...
Heinrich P. Lotz (1985)
Mathematische Zeitschrift
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