A generalized projection decomposition in Orlicz-Bochner spaces

Henryk Hudzik; Ryszard Płuciennik; Yuwen Wang

Banach Center Publications (2005)

  • Volume: 68, Issue: 1, page 61-70
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Henryk Hudzik, Ryszard Płuciennik, and Yuwen Wang. "A generalized projection decomposition in Orlicz-Bochner spaces." Banach Center Publications 68.1 (2005): 61-70. <http://eudml.org/doc/282241>.

@article{HenrykHudzik2005,
abstract = {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.},
author = {Henryk Hudzik, Ryszard Płuciennik, Yuwen Wang},
journal = {Banach Center Publications},
keywords = {Orlicz-Bochner space; projection decomposition; duality mapping; hyperplane},
language = {eng},
number = {1},
pages = {61-70},
title = {A generalized projection decomposition in Orlicz-Bochner spaces},
url = {http://eudml.org/doc/282241},
volume = {68},
year = {2005},
}

TY - JOUR
AU - Henryk Hudzik
AU - Ryszard Płuciennik
AU - Yuwen Wang
TI - A generalized projection decomposition in Orlicz-Bochner spaces
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 61
EP - 70
AB - 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.
LA - eng
KW - Orlicz-Bochner space; projection decomposition; duality mapping; hyperplane
UR - http://eudml.org/doc/282241
ER -

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