Convergence theorems for measures with values in Riesz spaces.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 Italy Publisher:Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation, PragueJournal:Kybernetika, volume 38, pages 287-295

Authors: CANDELORO, Domenico;

handle: 11391/156668

Convergence theorems for measures with values in Riesz spaces.

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Abstract

Summary: 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.

Country

Italy

Related Organizations

University of Perugia
Italy

Keywords

pointwise convergence; Vitali-Hahn-Saks; Lebesgue decomposition, convergence theorem, Lebesgue decomposition, Riesz space, Vector-valued measures and integration

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