Spaces of integrable functions with respect to a vector measure and factorizations through \(L^{p}\) and Hilbert spaces

DOI10.1016/j.jmaa.2006.07.107zbMath1129.47019OpenAlexW2095407174MaRDI QIDQ879061

Francisco Naranjo, Antonio Fernández, Fernando Mayoral, Carmen Sáez, Enrique Alfonso Sánchez-Pérez

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.107

zbMATH Keywords

Köthe function spacesvector measures\(p\)-integrable functionsfactorization of operators

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) Classical Banach spaces in the general theory (46B25) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Linear operators on function spaces (general) (47B38)

Related Items (7)

Multilinear variants of the Maurey factorization theorem ⋮ Factorizing kernel operators ⋮ The weak topology on \(L^p\) of a vector measure ⋮ Positive representations of \(L^{1}\) of a vector measure ⋮ On the optimal domain of the Laplace transform ⋮ Ordered representations of spaces of integrable functions ⋮ FACTORIZING MULTILINEAR KERNEL OPERATORS THROUGH SPACES OF VECTOR MEASURES

Cites Work

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• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Vector measure Maurey--Rosenthal-type factorizations and \(\ell\)-sums of \(L^1\)-spaces
• Maurey--Rosenthal factorization of positive operators and convexity
• Spaces of \(p\)-integrable functions with respect to a vector measure
• On subspaces of L\(^p\)
• Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators
• Linear Operators in Banach Lattices and WeightedL2 Inequalities
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

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