The filling scheme and the ergodic theorems of Kesten and Tanny
Janusz Woś (1987)
Colloquium Mathematicae
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Displaying similar documents to “Ergodic theorem, reversibility and the filling scheme”
The filling scheme and the ergodic theorems of Kesten and Tanny
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Korovkin sets and mean ergodic theorems.
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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.
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Lasha Ephremidze (2002)
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It is proved that the ergodic maximal operator is one-to-one.
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Zbigniew S. Kowalski (1984)
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J. Woś (1987)
Colloquium Mathematicae
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R. Sato (1990)
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The Speed of Convergence in Ergodic Theorem.
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S. Doplicher, D. Kastler (1968)
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On the uniqueness of the uncentered ergodic maximal function
Paul Alton Hagelstein (2004)
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It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
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 converges almost everywhere to a function f* in , where (pq) and are assumed to be in the set . Results due to C. Ryll-Nardzewski, S. Gładysz, and I. Assani and J. Woś are generalized...
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.
On functions with scattered spectra on lea groups
Paweł Głowacki (1981)
Studia Mathematica
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A weighted ergodic maximal equality for nonsingular semiflows
Lasha Ephremidze, Ryotaro Sato (2005)
Colloquium Mathematicae
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A weighted ergodic maximal equality is proved for a conservative and ergodic semiflow of nonsingular automorphisms.
Some thoughts about Segal's ergodic theorem
Daniel W. Stroock (2010)
Colloquium Mathematicae
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Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves. ...