The Vitali-Hahn-Saks Theorem and Measuroids

DOI10.2307/2159404zbMath0747.28001OpenAlexW4249444940MaRDI QIDQ3987621

Sadahiro Saeki

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159404

zbMATH Keywords

uniform boundedness principleVitali-Hahn-Saks theoremvector-valued measureNikodým convergence theoremmeasuroid

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Spaces of measures, convergence of measures (28A33) Vector-valued measures and integration (46G10)

Related Items (7)

Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting ⋮ Dieudonné's theorem for non-additive set functions ⋮ On Drewnowski lemma for non-additive functions and its consequences ⋮ 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 nonatomicity for non-additive functions

Cites Work

• Unnamed Item
• Matrix methods in analysis
• On bases and unconditional convergence of series in Banach spaces
• On Vector Measures

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