In this paper, a precise projection decomposition in reflexive, smooth and strictly convex Orlicz-Bochner spaces is given by the representation of the duality mapping. As an application, a representation of the metric projection operator on a closed hyperplane is presented.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-7, author = {Henryk Hudzik and Ryszard P\l uciennik and Yuwen Wang}, title = {A generalized projection decomposition in Orlicz-Bochner spaces}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {61-70}, zbl = {1086.46012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-7} }
Henryk Hudzik; Ryszard Płuciennik; Yuwen Wang. A generalized projection decomposition in Orlicz-Bochner spaces. Banach Center Publications, Tome 68 (2005) pp. 61-70. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-7/