In the first section of this paper there are given criteria for strict convexity and smoothness of the Bochner-Orlicz space with the Orlicz norm as well as the Luxemburg norm. In the second one that geometrical properties are applied to the characterization of metric projections and zero mean valued best approximants to Bochner-Orlicz spaces.
@article{urn:eudml:doc:43999,
title = {Metric projections and best approximants in Bochner-Orlicz spaces.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {7},
year = {1994},
pages = {57-77},
zbl = {0823.46032},
mrnumber = {MR1277330},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43999}
}
Pluciennik, Ryszard; Wang, Yuwen. Metric projections and best approximants in Bochner-Orlicz spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 7 (1994) pp. 57-77. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43999/