## Banach Journal of Mathematical Analysis

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

#### 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.

#### Article information

Source
Banach J. Math. Anal., Volume 5, Number 1 (2011), 167-180.

Dates
First available in Project Euclid: 14 August 2011

https://projecteuclid.org/euclid.bjma/1313362988

Digital Object Identifier
doi:10.15352/bjma/1313362988

Mathematical Reviews number (MathSciNet)
MR2738528

Zentralblatt MATH identifier
1215.46011

Subjects
Primary: 46B04: Isometric theory of Banach spaces
Secondary: 46B25: Classical Banach spaces in the general theory

Keywords
Daugavet property L_p-space

#### Citation

Sanchez Perez, Enrique A.; Werner, Dirk. The geometry of L^p-spaces over atomless measure spaces and the Daugavet property. Banach J. Math. Anal. 5 (2011), no. 1, 167--180. doi:10.15352/bjma/1313362988. https://projecteuclid.org/euclid.bjma/1313362988

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