Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm

Abstract

In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.

Keywords

• extreme points
• strict convexity
• almost periodic functions
• besicovitch-orlicz spaces of almost periodic functions