Remark on measures in almost independent fields

Henry Helson

Displaying similar documents to “Remark on measures in almost independent fields”

Measures in Almost Independent Fields

Edward Marczewski (1951)

Fundamenta Mathematicae

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On compact measures

Edward Marczewski (1953)

Fundamenta Mathematicae

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Uniformly countably additive families of measures and group invariant measures.

Baltasar Rodríguez-Salinas (1998)

Collectanea Mathematica

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The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.

Extensions of measures and abstract stochastic processes

E. Elliott (1971)

Fundamenta Mathematicae

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Independent fields and cartesian products

R. Sikorski (1950)

Studia Mathematica

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Remarks on the compactness and non direct products of measures

Edward Marczewski, Czesław Ryll-Nardzewski (1953)

Fundamenta Mathematicae

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A set function without $σ$ -additive extension having finitely additive extensions arbitrarily close to $σ$ -additivity

Jörn Lembcke (1980)

Czechoslovak Mathematical Journal

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Stochastic processes and applications to countably additive restriction of group-valued finitely additive measures.

D. Candeloro, A. Martellotti (1996)

Collectanea Mathematica

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As an application of a theorem concerning a general stochastic process in a finitely additive probability space, the existence of non-atomic countably additive restrictions with large range is obtained for group-valued finitely additive measures.