On a local ergodic theorem

Ryotaro Sato

Displaying similar documents to “On a local ergodic theorem”

On local ergodic theorems for positive semigroups

Ryotaro Sato (1978)

Studia Mathematica

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Some ergodic theorems for commuting $L_{1}$ contractions

S. McGrath (1981)

Studia Mathematica

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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. ...

Ratio limit theorems and applications to ergodic theory

Ryotaro Sato (1980)

Studia Mathematica

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Local ergodic theorems.

Teresa Bermúdez, Manuel González, Mostafa Mbekhta (1998)

Extracta Mathematicae

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Operators with an ergodic power

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.

Abelian ergodic theorems for contraction semigroups

S. McGrath (1977)

Studia Mathematica

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On functions with scattered spectra on lea groups

Paweł Głowacki (1981)

Studia Mathematica

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Finite generators of ergodic endomorphisms

Zbigniew S. Kowalski (1984)

Colloquium Mathematicae

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Some Open Problems in Ergodic Theory

Donald S. Ornstein (1975)

Publications mathématiques et informatique de Rennes

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Pointwise ergodic theorems in Lorentz spaces L(p,q) for null preserving transformations

Ryotaro Sato (1995)

Studia Mathematica

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Let (X,ℱ,µ) be a finite measure space and τ a null preserving transformation on (X,ℱ,µ). Functions in Lorentz spaces L(p,q) associated with the measure μ are considered for pointwise ergodic theorems. Necessary and sufficient conditions are given in order that for any f in L(p,q) the ergodic average $n^{- 1} \sum_{i = 0}^{n - 1} f \circ τ^{i} (x)$ converges almost everywhere to a function f* in $L (p_{1}, q_{1}]$ , where (pq) and $(p_{1}, q_{1}]$ are assumed to be in the set $(r, s) : r = s = 1, o r 1 < r < \infty a n d 1 \leq s \leq \infty, o r r = s = \infty$ . Results due to C. Ryll-Nardzewski, S. Gładysz, and I. Assani and J. Woś are generalized...

A note on a mean ergodic theorem

A. Al-Hussaini (1974)

Annales Polonici Mathematici

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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.