Integrability and closest approximation representations

DOI10.1007/BF02415131zbMath0415.28004MaRDI QIDQ599949

William D. L. Appling

Publication date: 1978

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Banach lattice of infinitely additive measures of bounded variation on a Boolean algebrabounded correspondenceC-setclosest approximation representationsDedekind-completegames on Boolean coalition structuresgreatest minorantintegrable set functionsL-projectionL-summandnearest approximant

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Measures on Boolean rings, measure algebras (28A60)

Related Items (6)

Finite additivity and upper and lower distribution functions ⋮ min and max functions, Bochner-Radon-Nikodým approximations, and a representation characterization ⋮ Zero-one set functions and absolute continuity ⋮ Approximate Hahn decompositions, uniform absolute continuity and uniform integrability ⋮ Constructive representations of certain closest approximations ⋮ A characterization theorem for the nearest point mappings of linear C- sets

Cites Work

• Upper and lower integral difference functionals, closest approximations, and integrability
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