Vector measure Maurey--Rosenthal-type factorizations and \(\ell\)-sums of \(L^1\)-spaces

DOI10.1016/j.jfa.2004.06.010zbMath1083.46007OpenAlexW1965360584MaRDI QIDQ1776894

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

Publication date: 12 May 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.06.010

zbMATH Keywords

vector measures\(p\)-integrable functions\(\ell\)-sums of \(L^1\)-spacesfactorizations of operators

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Vector-valued measures and integration (46G10) Special classes of linear operators (47B99)

Related Items (5)

Strongly embedded subspaces of \(p\)-convex Banach function spaces ⋮ Spaces of integrable functions with respect to a vector measure and factorizations through \(L^{p}\) and Hilbert spaces ⋮ FACTORIZATION OF OPERATORS THROUGH SUBSPACES OF -SPACES ⋮ The weak topology on \(L^p\) of a vector measure ⋮ Lattice copies of \(\ell^2\) in \(L^1\) of a vector measure and strongly orthogonal sequences

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