On a series of cosecants related to a problem in ergodic theory

Karl Petersen

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A generalization of Hasse's generalization of the Syracuse algorithm

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On a theorem of H. Weyl

J. Cigler (1969)

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On a generalization of the Lucas functions

H. Williams (1972)

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Connections between $B_{2, χ}$ for even quadratic Dirichlet characters $χ$ and class numbers of appropriate imaginary quadratic fields, I

Jerzy Urbanowicz (1990)

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On distribution of values of multiplicative functions in residue classes

W. Narkiewicz (1967)

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Square-free points on ellipsoids

R. Baker (1988)

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On the mean ergodic theorem for Cesàro bounded operators

Yves Derriennic (2000)

Colloquium Mathematicae

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For a Cesàro bounded operator in a Hilbert space or a reflexive Banach space the mean ergodic theorem does not hold in general. We give an additional geometrical assumption which is sufficient to imply the validity of that theorem. Our result yields the mean ergodic theorem for positive Cesàro bounded operators in $L^{p}$ (1 < p < ∞). We do not use the tauberian theorem of Hardy and Littlewood, which was the main tool of previous authors. Some new examples, interesting for summability...

Displaying similar documents to “On a series of cosecants related to a problem in ergodic theory”

A generalization of Hasse's generalization of the Syracuse algorithm

On a theorem of H. Weyl

On a generalization of the Lucas functions

Connections between B 2 , χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, I

On distribution of values of multiplicative functions in residue classes

Square-free points on ellipsoids

On the mean ergodic theorem for Cesàro bounded operators

Connections between $B_{2, χ}$ for even quadratic Dirichlet characters $χ$ and class numbers of appropriate imaginary quadratic fields, I