A generalization of Hasse's generalization of the Syracuse algorithm
K. Matthews, A. Watts (1984)
Acta Arithmetica
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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
J. Cigler (1969)
Compositio Mathematica
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On a generalization of the Lucas functions
H. Williams (1972)
Acta Arithmetica
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Connections between for even quadratic Dirichlet characters and class numbers of appropriate imaginary quadratic fields, I
Jerzy Urbanowicz (1990)
Compositio Mathematica
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On distribution of values of multiplicative functions in residue classes
W. Narkiewicz (1967)
Acta Arithmetica
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Square-free points on ellipsoids
R. Baker (1988)
Acta Arithmetica
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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 (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...