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2011 The geometry of L^p-spaces over atomless measure spaces and the Daugavet property
Enrique A. Sanchez Perez, Dirk Werner
Banach J. Math. Anal. 5(1): 167-180 (2011). DOI: 10.15352/bjma/1313362988

Abstract

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.

Citation

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Enrique A. Sanchez Perez. Dirk Werner. "The geometry of L^p-spaces over atomless measure spaces and the Daugavet property." Banach J. Math. Anal. 5 (1) 167 - 180, 2011. https://doi.org/10.15352/bjma/1313362988

Information

Published: 2011
First available in Project Euclid: 14 August 2011

zbMATH: 1215.46011
MathSciNet: MR2738528
Digital Object Identifier: 10.15352/bjma/1313362988

Subjects:
Primary: 46B04
Secondary: 46B25

Keywords: Daugavet property , L_p-space

Rights: Copyright © 2011 Tusi Mathematical Research Group

Vol.5 • No. 1 • 2011
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