The dual space of \(L_\infty\) is \(L_1\)

DOI10.1016/S0019-3577(98)80039-6zbMath0922.46066OpenAlexW2089377885WikidataQ57363507 ScholiaQ57363507MaRDI QIDQ1279735

Martin Väth

Publication date: 17 February 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(98)80039-6

zbMATH Keywords

Solovay's modelaxiom of choice is weakeneddual space of any Köthe spaceKöthe space with Fatou's property

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) Nonstandard functional analysis (46S20) Axiom of choice and related propositions (03E25)

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Cites Work

• A compactness criterion of mixed Krasnoselskiĭ-Riesz type in regular ideal spaces of vector functions
• A model of set-theory in which every set of reals is Lebesgue measurable
• What Is Nonstandard Analysis?
• Definability of measures and ultrafilters
• The axiom of choice
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