Ergodic Families of Affine Operators.
J.J. Koliha, A.P. Leung (1975)
Mathematische Annalen
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J.J. Koliha, A.P. Leung (1975)
Mathematische Annalen
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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.
A. Al-Hussaini (1974)
Annales Polonici Mathematici
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Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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Teresa Bermúdez, Manuel González, Mostafa Mbekhta (1998)
Extracta Mathematicae
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Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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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...
J. Woś (1987)
Colloquium Mathematicae
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Janusz Woś (1987)
Colloquium Mathematicae
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Paweł Głowacki (1981)
Studia Mathematica
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Heydar Radjavi, Ping-Kwan Tam, Kok-Keong Tan (2003)
Studia Mathematica
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A mean ergodic theorem is proved for a compact operator on a Banach space without assuming mean-boundedness. Some related results are also presented.
Zbigniew S. Kowalski (1984)
Colloquium Mathematicae
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Roland Zweimüller (2004)
Colloquium Mathematicae
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
Martin Kern, Rainer Nagel, G. Palm (1977)
Mathematische Zeitschrift
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S. Doplicher, D. Kastler (1968)
Recherche Coopérative sur Programme n°25
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Burgess Davis (1982)
Studia Mathematica
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Karl Petersen, Shizuo Kakutani (1981)
Monatshefte für Mathematik
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