Spaces of integrable functions with respect to vector measures of convex range and factorization of operators from \(L_p\)-spaces.

DOI10.2140/pjm.2002.207.489zbMath1063.46031OpenAlexW2171488368MaRDI QIDQ1880001

Enrique Alfonso Sánchez-Pérez

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.207.489

zbMATH Keywords

vector measure\(L_p\)-spacefactorization of linear 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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10)

Related Items (3)

Vector measure Maurey--Rosenthal-type factorizations and \(\ell\)-sums of \(L^1\)-spaces ⋮ Spaces of \(p\)-integrable functions with respect to a vector measure ⋮ Vector measure orthonormal systems and self-weighted functions approximation

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