Full paper in PDF:
$% M. Morsli and F. Bedouhene, On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm , Rev. Mat. Complut. 16 (2003), 399415.%$

On the Strict Convexity of the Besicovitch-Orlicz Space of Almost Periodic Functions with Orlicz Norm

Mohamed MORSLI and Fazia BEDOUHENE
Faculty of Sciences
Department of Mathematics
University of Tizi-Ouzou Algeria

Received: July 16, 2001
Accepted: January 11, 2003
ABSTRACT

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 f generating the space.

Key words: strict convexity, Besicovitch-Orlicz space, almost periodic functions.
2000 Mathematics Subject Classification:
46B20, 42A75.