Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences

DOI10.5802/aif.1269zbMath0735.11004OpenAlexW2008002856MaRDI QIDQ1813012

Martin Blümlinger, Nobuaki Obata

Publication date: 25 June 1992

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_3_665_0

zbMATH Keywords

permutation groupsdensitieslinear functionaluniform distributionLévy groupinvariant extensions of Cesàro mean

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Density, gaps, topology (11B05) General theory of distribution modulo (1) (11K06) Infinite automorphism groups (20B27)

Related Items (8)

A characterization of Cesàro average utility ⋮ Lévy group and density measures ⋮ Permutations that preserve asymptotically null sets and statistical convergence ⋮ Density of sets of natural numbers and the Lévy group ⋮ Lévy group action and invariant measures on 𝛽{ℕ} ⋮ Extreme points of the set of density measures ⋮ Distribution preserving transformations of sequences on compact metric spaces ⋮ A characterization of \((\mathcal{I,J})\)-regular matrices

Cites Work

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• Density of natural numbers and the Lévy group
• Eine Charakterisierung gleichverteilter Folgen
• Invariant extension of linear functionals
• A note on certain permutation groups in the infinite dimensional rotation group
• On Levi's Duality Between Permutations and Convergent Series

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