Countable extension of measures and \(\sigma\)-integrals with values in vector lattices

DOI10.1007/BF01156683zbMath0614.28004MaRDI QIDQ1820261

I. I. Shamaev

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

extension\(\sigma \)-integralDedekind \(\sigma \)-complete linear latticeEgorov propertyweak \(\sigma \)-distributivity of countable type

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Set functions, measures and integrals with values in ordered spaces (28B15)

Cites Work

• The measure extension problem for vector lattices
• Über die Ausdehnung positiver linearer Abbildungen
• Extensions of positive operators and extreme points. I
• Extensions of positive operators and extreme points. IV
• A Direct Proof of the Matthes-Wright Integral Extension Theorem
• Egoroff Properties and the Order Topology in Riesz Spaces
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