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arxiv: 1001.1262 · v1 · pith:GK44UHCBnew · submitted 2010-01-08 · 🧮 math.FA

The geometry of L^p-spaces over atomless measure spaces and the Daugavet property

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keywords propertyspacesatomlessdaugavetmeasurecharacterizedconcavitygeometric
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We show that $L^p$-spaces over atomless measure spaces can be characterized in terms of a $p$-concavity type geometric property that is related with the Daugavet property.

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