min and max functions, Bochner-Radon-Nikodým approximations, and a representation characterization

DOI10.1007/BF01765935zbMath0699.28002MaRDI QIDQ913004

William D. L. Appling

Publication date: 1989

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

zbMATH Keywords

Bochner-Radon-Nikodým theorembounded concavity conditionrefinement integralset-valued set- functions

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Integration and disintegration of measures (28A50)

Cites Work

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• Integrability and closest approximation representations
• Fields of sets, set functions, set function integrals, and finite additivity
• Finite additivity and upper and lower distribution functions
• Constructive representations of certain closest approximations
• Set functions, finite additivity and distribution functions
• Some continuity properties of upper and lower integral difference functionals
• Characterizations of some absolutely continuous additive set functions
• Interval functions and continuity
• A uniqueness characterization of absolute continuity
• Refinement-unbounded set functions and absolute continuity
• Continuity and set function summability
• Some Integral Characterizations of Absolute Continuity
• Integral Representations and Refinement-Unboundedness
• Addendum to: Some Integral Characterizations of Absolute Continuity

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