The $p$-Daugavet property for function spaces
  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. 
Enrique A. Sanchez Perez and Dirk Werner
math.FA