Equicontinuous sets of measures and applications to Vitali's integral convergence theorem and control measures

DOI10.1016/0001-8708(73)90104-7zbMath0249.28009OpenAlexW1967323101MaRDI QIDQ2556613

James K. Brooks

Publication date: 1973

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(73)90104-7

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05)

Related Items (16)

Strictly singular and strictly cosingular operators on spaces of continuous functions ⋮ Equicontinuity in measure spaces and von Neumann algebras ⋮ Limit theorems in \((l)\)-groups with respect to \((D)\)-convergence ⋮ Equiabsolute continuity ⋮ The Bartle--Dunford--Schwartz theorem and projection operators in certain Banach lattices ⋮ Continuity and compactness of measures ⋮ An alternative proof of Diestel's theorem ⋮ Remarks on Weak Compactness in L₁(μ,X) ⋮ Unnamed Item ⋮ An analog of the Vitali-Hahn-Saks theorem ⋮ Uniform exhaustivity and Banach lattices ⋮ Uniform \(s\)-boundedness and convergence results for measures with values in complete l-groups ⋮ Some effects of set-theoretical assumptions in measure theory ⋮ Operators on continuous function spaces and convergence in the spaces of operators ⋮ Linear Operators and Vector Measures ⋮ Strong additivity, absolute continuity, and compactness in spaces of measures

Cites Work

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• Weak Compactness and Vector Measures
• On Finitely Additive Vector Measures
• On the existence of a control measure for strongly bounded vector measures
• Weak compactness in the space of vector measures
• On Integration in Vector Spaces

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