Abstract: We investigate which points in the unit sphere of the Besicovitch-Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
Keywords: Besicovitch-Orlicz space; extreme point; strict convexity; almost periodic function
DOI: DOI 10.14712/1213-7243.2021.007
AMS Subject Classification: 39A24 46B20 46E30