On the Banach lattice structure of \(L^1_w\) of a vector measure on a \(\delta \)-ring

DOI10.1007/s13348-013-0081-8zbMath1321.46018OpenAlexW2064243444MaRDI QIDQ486323

M. A. Juan, Enrique Alfonso Sánchez-Pérez, Olvido Delgado, Jose M. Calabuig

Publication date: 15 January 2015

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-013-0081-8

zbMATH Keywords

Banach latticeorder continuityFatou propertyintegration with respect to vector measuresorder density\(\delta \)-ring

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)

Related Items (13)

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 ⋮ Optimal extensions for \(p\)th power factorable operators ⋮ The Köthe dual of an abstract Banach lattice ⋮ Associate space with respect to a semi-finite measure ⋮ Unnamed Item ⋮ Kantorovich-Wright integral and representation of quasi-Banach lattices ⋮ Optimal extension of positive order continuous operators with values in quasi-Banach lattices ⋮ Kantorovich-Wright integration and representation of quasi-Banach lattices ⋮ Kantorovich-Wright integration and representation of vector lattices ⋮ Locally integrable functions and their indefinite integrals ⋮ Reflexivity of function spaces associated to a \(\sigma\)-finite vector measure ⋮ Integration for Positive Measures with Values in Quasi-Banach Lattices ⋮ Tensor product representation of Köthe-Bochner spaces and their dual spaces

Cites Work

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