On the Strict Convexity of the Besicovitch-Orlicz Space of Almost Periodic Functions with Orlicz Norm
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function generating the space.
Key words: strict convexity, Besicovitch-Orlicz space, almost periodic functions.
2000 Mathematics Subject Classification: 46B20, 42A75.