An extension of Kakutani's theorem on abstract \(L^p\)-spaces to the case of any positive \(p\)

DOI10.1023/A:1009814208231zbMath0976.46019OpenAlexW81444115MaRDI QIDQ1588020

S. Teerenstra

Publication date: 20 March 2001

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009814208231

zbMATH Keywords

completenessRiesz spaceRiesz isomorphismabstract \(L^p\)-spacesorthogonally \(p\)-additivepositive-homogeneous

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)

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An extension of the Kakutani-Bohnenblust characterization of \(L^p\)-spaces to \(p\in (0,\infty)\)

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