This is an announcement for the paper "The $p$-Daugavet property for function spaces" by Enrique A. Sanchez Perez and Dirk Werner.

Abstract: A natural extension of the Daugavet property for $p$-convex Banach function spaces and related classes is analysed. As an application, we extend the arguments given in the setting of the Daugavet property to show that no reflexive space falls into this class.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46B04, secondary 46B25

Submitted from: werner@math.fu-berlin.de

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1103.1284

or

http://arXiv.org/abs/1103.1284