On the structure of \(L^{1}\) of a vector measure via its integration operator

DOI10.1007/S00020-009-1670-5zbMath1183.46029OpenAlexW2012493914MaRDI QIDQ836046

José Rodríguez, Enrique Alfonso Sánchez-Pérez, Jose M. Calabuig

Publication date: 31 August 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-009-1670-5

zbMATH Keywords

vector measureBanach function spaceintegration operator\(p\)-concave operatorpositive \(p\)-summing operator

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 (3)

Summability in L1 of a vector measure ⋮ Operator ideal properties of the integration map of a vector measure ⋮ Lattice copies of \(\ell^2\) in \(L^1\) of a vector measure and strongly orthogonal sequences

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