Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions

DOI10.4171/RLM/852zbMath1423.28036OpenAlexW2950979251MaRDI QIDQ2319591

Antonio Boccuto, Xenofon Dimitriou

Publication date: 20 August 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/852

zbMATH Keywords

filtersubmeasurelattice group\(k\)-triangular set functionfilter exhaustivenessfilter order convergenceFréchet-Nikodým topology

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Ideal and statistical convergence (40A35) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (3)

Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Dieudonné-type theorems for lattice group-valued k-triangular set functions ⋮ Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions

Cites Work

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• Filter convergence and decompositions for vector lattice-valued measures
• On the Lebesgue decomposition for non-additive functions
• On Drewnowski lemma for non-additive functions and its consequences
• On Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for quasi-triangular functions
• \(k\)-order additive discrete fuzzy measures and their representation
• \(k\)-additive aggregation functions and their characterization
• Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions
• Intuitionistic fuzzy sets. Theory and applications
• Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions
• Convergence Theorems for Lattice Group-Valued Measures
• Generalized Measure Theory
• The Vitali-Hahn-Saks Theorem and Measuroids
• L^pSpaces in vector lattices and applications

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