Convergence Theorems for Lattice Group-Valued Measures

DOI10.2174/97816810800931150101zbMath1342.28001OpenAlexW243911558MaRDI QIDQ3188542

Xenofon Dimitriou, Antonio Boccuto

Publication date: 11 August 2016

Full work available at URL: https://doi.org/10.2174/97816810800931150101

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Vector-valued measures and integration (46G10) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Group- or semigroup-valued set functions, measures and integrals (28B10)

Related Items (9)

Korovkin-type theorems for abstract modular convergence ⋮ Hahn-Banach-type theorems and applications to optimization for partially ordered vector space-valued invariant operators ⋮ Abstract theorems on exchange of limits and preservation of (semi)continuity of functions and measures in the filter convergence setting ⋮ Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions ⋮ 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 ⋮ On the topological mass lattice groups ⋮ A survey on recent results in Korovkin’s approximation theory in modular spaces ⋮ Abstract integration with respect to measures and applications to modular convergence in vector lattice setting

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