Denting Points and Drop Properties in Orlicz Spaces

Abstract

On the unit ball of an Orlicz function space the denting points,weak* denting points, and quasi-denting points coincide. But on the unit ball of an Orlicz sequence space the quasi-denting points are different from the denting points andweak* denting points. We also show that theweak* drop property and the Kadec–Klee property are equivalent in Orlicz spaces. Hence the weak drop property and theweak* drop property are independent properties in Banach spaces.