On Drewnowski lemma for non-additive functions and its consequences

DOI10.1007/S11117-008-0001-4zbMath1198.06007OpenAlexW2042630702WikidataQ124867115 ScholiaQ124867115MaRDI QIDQ963672

Paola Cavaliere, Flavia Ventriglia, Paolo de Lucia

Publication date: 13 April 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-0001-4

zbMATH Keywords

orthomodular latticeconvergence theoremssubsequential interpolation propertynon-additive content

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items (5)

Dieudonné's theorem for non-additive set functions ⋮ Boundedness of nonadditive quantum measures ⋮ On the Lebesgue decomposition for non-additive functions ⋮ Filter exhaustiveness and filter limit theorems for \(k\)-triangular lattice group-valued set functions ⋮ On Brooks-Jewett, Vitali-Hahn-Saks and Nikodým convergence theorems for quasi-triangular functions

Cites Work

• The Brooks-Jewett theorem on an orthomodular lattice
• Vector-valued capacities
• Convergence of a sequence of weakly regular set functions
• Limit laws for non-additive probabilities and their frequentist interpretation
• Non-additive measure and integral
• On indepedence for non-additive measures, with a Fubini theorem
• Uniform continuity of a family of weakly regular set functions in a topological space.
• On the Vitali–Hahn–Saks theorem
• The Vitali-Hahn-Saks Theorem and Measuroids
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