The geometry of [L.sup.p]-spaces over atomless measure spaces and the Daugavet property

We show that [L.sup.p]-spaces over atomless measure spaces can be characterized in terms of a p-concavity type geometric property that is related with the Daugavet property. Key words and phrases. Daugavet property, [L.sub.p]-space.

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Bibliographic Details
Published inBanach journal of mathematical analysis Vol. 5; no. 1; p. 167
Main Authors Perez, Enrique A. Sanchez, Werner, Dirk
Format Journal Article
LanguageEnglish
Published Springer 01.01.2011
Subjects
Measure theory
Vector spaces
Germany
Spain
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Summary:We show that [L.sup.p]-spaces over atomless measure spaces can be characterized in terms of a p-concavity type geometric property that is related with the Daugavet property. Key words and phrases. Daugavet property, [L.sub.p]-space.
ISSN:1735-8787
1735-8787