Metric projections and best approximants in Bochner-Orlicz spaces.

Ryszard Pluciennik; Yuwen Wang

Revista Matemática de la Universidad Complutense de Madrid (1994)

  • Volume: 7, Issue: 1, page 57-77
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Pluciennik, Ryszard, and Wang, Yuwen. "Metric projections and best approximants in Bochner-Orlicz spaces.." Revista Matemática de la Universidad Complutense de Madrid 7.1 (1994): 57-77. <http://eudml.org/doc/43999>.

@article{Pluciennik1994,
abstract = {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.},
author = {Pluciennik, Ryszard, Wang, Yuwen},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio de Orlicz; Espacio normal de sucesiones; Convergencia en norma; Funciones medibles; Funciones convexas; strict convexity and smoothness of the Bochner-Orlicz space; Orlicz norm; Luxemburg norm; characterization of metric projections; zero mean valued best approximants},
language = {eng},
number = {1},
pages = {57-77},
title = {Metric projections and best approximants in Bochner-Orlicz spaces.},
url = {http://eudml.org/doc/43999},
volume = {7},
year = {1994},
}

TY - JOUR
AU - Pluciennik, Ryszard
AU - Wang, Yuwen
TI - Metric projections and best approximants in Bochner-Orlicz spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1994
VL - 7
IS - 1
SP - 57
EP - 77
AB - 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.
LA - eng
KW - Espacio de Orlicz; Espacio normal de sucesiones; Convergencia en norma; Funciones medibles; Funciones convexas; strict convexity and smoothness of the Bochner-Orlicz space; Orlicz norm; Luxemburg norm; characterization of metric projections; zero mean valued best approximants
UR - http://eudml.org/doc/43999
ER -

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