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Zbl 1215.46011
Sánchez Pérez, Enrique A.; Werner, Dirk
The geometry of $L_p$-spaces over atomless measure spaces and the Daugavet property. (English)
[J] Banach J. Math. Anal. 5, No. 1, 167-180, electronic only (2011). ISSN 1735-8787/e

Summary: 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.

MSC 2000:: *46B04 Isometric theory of Banach spaces
46B25 Classical Banach spaces in the general theory of normed spaces

Keywords: Daugavet property; $L^p$-space

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