Some versions of limit and Dieudonné-type theorems with respect to filter convergence for \((\ell )\)-group-valued measures

DOI10.2478/s11533-011-0083-2zbMath1227.26007OpenAlexW2125358739MaRDI QIDQ651304

Xenofon Dimitriou, Antonio Boccuto, Nikolaos Papanastassiou

Publication date: 12 December 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0083-2

zbMATH Keywords

FilterSchur theoremVitali-Hahn-Saks theorem\((\ell)\)-groupDieudonné theoremIdealIdeal (filter) convergenceLimit theoremNikodým theoremRegular measure

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (6)

Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting ⋮ Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces ⋮ On $$\mathcal {I}$$-Statistically Order Pre Cauchy Sequences in Riesz Spaces ⋮ Schur lemma and limit theorems in lattice groups with respect to filters ⋮ On I_λ-Statistical Convergence in Locally Solid Riesz Spaces ⋮ Dieudonné-type theorems for lattice group-valued k-triangular set functions

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