The dual space of \(L^p\) of a vector measure

DOI10.1007/s11117-010-0071-yzbMath1223.46045OpenAlexW2971792877MaRDI QIDQ618826

Fernando Galaz-Fontes

Publication date: 17 January 2011

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0071-y

zbMATH Keywords

vector measureorder continuityFatou propertyassociate spacefunction norm

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) Vector-valued measures and integration (46G10)

Related Items (4)

Topological dual systems for spaces of vector measure \(p\)-integrable functions ⋮ 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 ⋮ The Köthe dual of an abstract Banach lattice ⋮ Köthe dual of Banach lattices generated by vector measures

Cites Work

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• The Fatou property in \(p\)-convex Banach lattices
• Optimal domain and integral extension of operators, acting in function spaces
• The weak topology on \(L^p\) of a vector measure
• Completeness of \(L^1\)-spaces for measures with values in complex vector spaces
• The dual space of \({\mathcal L}^ 1(\mu)\) for a vector measure \(\mu\)
• When \(L^ 1\) of a vector measure is an AL-space
• Spaces of \(p\)-integrable functions with respect to a vector measure
• Banach lattices with the Fatou property and optimal domains of kernel operators
• Banach Space Properties of L 1 of a Vector Measure
• Compactness arguments for spaces of \(p\)-integrable functions with respect to a vector measure and factorization of operators through Lebesgue-Bochner spaces

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