Displaying similar documents to “On the modulus of measures with values in topological Riesz spaces.”

Convergence theorems for measures with values in Riesz spaces

Domenico Candeloro (2002)

Kybernetika

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In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in l -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.

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.

Conical measures and vector measures

Igor Kluvánek (1977)

Annales de l'institut Fourier

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Every conical measure on a weak complete space E is represented as integration with respect to a σ -additive measure on the cylindrical σ -algebra in E . The connection between conical measures on E and E -valued measures gives then some sufficient conditions for the representing measure to be finite.