Limit theorems in \((l)\)-groups with respect to \((D)\)-convergence

DOI10.14321/realanalexch.37.2.0249zbMath1276.28025OpenAlexW1505852695MaRDI QIDQ2392510

Antonio Boccuto, Xenofon Dimitriou, Nikolaos Papanastassiou

Publication date: 1 August 2013

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1366030623

zbMATH Keywords

Schur lemmameasure\(\ell\)-groupVitali-Hahn-Saks theoremNikodým convergence theorem

Mathematics Subject Classification ID

Set functions, measures and integrals with values in ordered spaces (28B15)

Cites Work

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• The uniform boundedness principle for order bounded operators
• Sobczyk-Hammer decompositions and convergence theorems for measures with values in \(l\)-groups
• Rates of ideal convergence for approximation operators
• Matrix methods in analysis
• The Nikodým boundedness theorem for lattice-valued measures
• On Vitaly-Hahn-Saks-Nikodym theorems
• Vitali's convergence theorem on term by term integration
• The measure extension problem for vector lattices
• Equicontinuous sets of measures and applications to Vitali's integral convergence theorem and control measures
• Notes on Banach space. X. Vitali-Hahn-Saks' theorem and k-spaces
• Decomposition of additive set functions
• Boolean algebras with pathological order topologies
• Basic matrix theorems for $\mathcal{I}$-convergence in (ℓ)-groups
• Mathematical Foundations of Signal Processing
• On Vector Measures
• A Direct Proof of the Matthes-Wright Integral Extension Theorem
• On Some Functionals
• Sur les suites convergentes de fonctions parfaitement additives d'ensemble abstrait
• Approximation properties in abstract modular spaces for a class of general sampling-type operators
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• ON THE VITALI-HAHN-SAKS AND NIKODÝM THEOREMS
• On Finitely Additive Vector Measures
• Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups

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