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

DOI10.1007/s11117-015-0370-4zbMath1372.46022OpenAlexW1778950380MaRDI QIDQ331733

Fernando Galaz-Fontes, Celia Avalos-Ramos

Publication date: 27 October 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-015-0370-4

zbMATH Keywords

vector measureBanach function spaceKöthe dualFatou propertyorder continuous\(\delta\)-ringassociate spacelocally \(\sigma\)-finite measure

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) Banach lattices (46B42) Vector-valued measures and integration (46G10) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (2)

Associate space with respect to a semi-finite measure ⋮ Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure

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