Finitely additive measures on \(\mathbb{N}\)

DOI10.1016/0166-8641(92)90032-UzbMath0762.28010OpenAlexW2057095071MaRDI QIDQ5905647

Eric K. van Douwen

Publication date: 1 April 1993

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90032-u

zbMATH Keywords

densityscale-invariantfinitely additive probability measureselastic measureextending densitystretchablethinnable

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Measures on groups and semigroups, etc. (43A05) Means on groups, semigroups, etc.; amenable groups (43A07) Classical measure theory (28A99)

Related Items (16)

Fair amenability for semigroups ⋮ Thinnable ideals and invariance of cluster points ⋮ A characterization of Cesàro average utility ⋮ Lévy group and density measures ⋮ Uniquely determined uniform probability on the natural numbers ⋮ A remark about the density of the orbits of the Collatz permutation ⋮ On the additive property of finitely additive measures ⋮ On the notions of upper and lower density ⋮ Densities on Dedekind domains, completions and Haar measure ⋮ Range of density measures ⋮ Extreme points of the set of density measures ⋮ Density measures and additive property ⋮ Prime residue class of uniform charges on the integers ⋮ Conglomerated filters and statistical measures ⋮ A functional analytic approach to Cesàro means ⋮ Believing in forecasts, uncertainty, and rational expectations

Cites Work

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• A contribution to the theory of divergent sequences
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• Definability of measures and ultrafilters
• On Projections of Finitely Additive Measures
• Finitely additive measures and the first digit problem
• On the Size of the Set of Left Invariant Means on a Semigroup
• On the generalized limit of bounded sequences

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