On the drop and weak drop properties for a Banach space
John Robilliard Giles, Brailey Sims, A. C. Yorke · Bulletin of the Australian Mathematical Society · 1990
Rolewicz' drop property is a modification of a concept underlying Daneš' drop theorem. We characterise the drop property by the upper semicontinuity and compact valued property of the duality mapping for the dual. The characterisation suggests that we define a weak drop property which we show characterises the reflexivity of the space.