Convergence rates of ergodic limits for semigroups and cosine functions.

J. Goldstein; c. Radin; R. Showalter

Displaying similar documents to “Convergence rates of ergodic limits for semigroups and cosine functions.”

A semigroup analogue of the Fonf-Lin-Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis

Delio Mugnolo (2004)

Studia Mathematica

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In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space X with a basis. (i) X is finite-dimensional if and only if every bounded, uniformly continuous, mean ergodic semigroup on X is uniformly mean ergodic. (ii) X is reflexive if and only if every bounded strongly continuous semigroup is mean ergodic if and only if every bounded uniformly continuous semigroup on X is mean ergodic. ...

Ergodic theorems and perturbations of contraction semigroups

Marta Tyran-Kamińska (2009)

Studia Mathematica

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We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.

A note on convergence of semigroups

Adam Bobrowski (1998)

Annales Polonici Mathematici

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Convergence of semigroups which do not converge in the Trotter-Kato-Neveu sense is considered.

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Shigeru Tsurumi (1975)

Publications mathématiques et informatique de Rennes

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S. McGrath (1981)

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Ryotaro Sato (1976)

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Ulrich Krengel, Michael Lin (1984)

Mathematische Zeitschrift

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C. Lizama (1993)

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Ratio limit theorems and applications to ergodic theory

Ryotaro Sato (1980)

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Ryotaro Sato (1978)

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Abelian ergodic theorems for contraction semigroups

S. McGrath (1977)

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The Speed of Convergence in Ergodic Theorem.

Karl Petersen, Shizuo Kakutani (1981)

Monatshefte für Mathematik

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Applications of operator semigroups to Fourier analysis.

J.A. Goldstein (1996)

Semigroup forum

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Induced contraction semigroups and random ergodic theorems

T. Yoshimoto

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CONTENTS§ 1. Introduction.................................................................................................... 5§ 2. Contraction quasi semigroups associated with, a semiflow....................... 7§ 3. Induced contraction semigroups....................................................................... 12§ 4. Discrete random ergodic theorems.................................................................. 18§ 5. Continuous random ergodic theorems...............................................................