Associate space with respect to a semi-finite measure

DOI10.1016/j.indag.2016.06.004zbMath1382.46018OpenAlexW2431584350MaRDI QIDQ2400602

Celia Avalos-Ramos, Fernando Galaz-Fontes

Publication date: 29 August 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2016.06.004

zbMATH Keywords

Banach function spaceFatou propertyassociate spaceorder and \(\sigma\)-order continuitysemi-finite and localizable measures

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integration with respect to measures and other set functions (28A25)

Related Items (1)

Locally integrable functions and their indefinite integrals

Cites Work

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• Associate space with respect to a locally \(\sigma \)-finite measure on a \(\delta \)-ring and applications to spaces of integrable functions defined by a vector measure
• On the Banach lattice structure of \(L^1_w\) of a vector measure on a \(\delta \)-ring
• Banach lattices
• \(L^1\)-spaces of vector measures defined on \(\delta\)-rings
• Strong additivity, absolute continuity, and compactness in spaces of measures

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