Uniform exhaustivity and Banach lattices

DOI10.1007/BF01760811zbMath0625.46028OpenAlexW2084336253MaRDI QIDQ579587

Wayne C. Bell, Russell G. Bilyeu, Paul W. Lewis

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01760811

zbMATH Keywords

exhaustivity\(\sigma \)-complete Banach latticeorder continuity of the normspaces of measuresstrong boundednessUniformly exhaustive subsets

Mathematics Subject Classification ID

Banach lattices (46B42) Spaces of measures (46E27)

Related Items (2)

The Bartle--Dunford--Schwartz theorem and projection operators in certain Banach lattices ⋮ Approximate Hahn decompositions, uniform absolute continuity and uniform integrability

Cites Work

• Uniform differentiability, uniform absolute continuity and the Vitali- Hahn-Saks theorem
• Strong additivity, absolute continuity, and compactness in spaces of measures
• Equicontinuous sets of measures and applications to Vitali's integral convergence theorem and control measures
• On the existence of a control measure for strongly bounded vector measures
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