On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 485-496
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We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic functions. This problem was considered in [5], in the case of an Orlicz space. The approximation property obtained in both cases are of the same kind. However, the arguments which are used in the proofs are different.
Classification :
42A75, 46B20, 46E40, 47B38
Keywords: modular approximation; Besicovitch-Orlicz space; almost periodic functions
Keywords: modular approximation; Besicovitch-Orlicz space; almost periodic functions
@article{CMUC_1997__38_3_a5,
author = {Morsli, Mohamed},
title = {On modular approximation property in the {Besicovitch-Orlicz} space of almost periodic functions},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {485--496},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1997},
mrnumber = {1485070},
zbl = {0937.46009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a5/}
}
TY - JOUR AU - Morsli, Mohamed TI - On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions JO - Commentationes Mathematicae Universitatis Carolinae PY - 1997 SP - 485 EP - 496 VL - 38 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a5/ LA - en ID - CMUC_1997__38_3_a5 ER -
%0 Journal Article %A Morsli, Mohamed %T On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions %J Commentationes Mathematicae Universitatis Carolinae %D 1997 %P 485-496 %V 38 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a5/ %G en %F CMUC_1997__38_3_a5
Morsli, Mohamed. On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 485-496. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a5/