Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.

Hudzik, Henryk, and Zbaszyniak, Zenon. "Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.." Collectanea Mathematica 48.4-5-6 (1997): 543-561. <http://eudml.org/doc/40795>.

@article{Hudzik1997,
abstract = {A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.},
author = {Hudzik, Henryk, Zbaszyniak, Zenon},
journal = {Collectanea Mathematica},
keywords = {Espacio de Orlicz; Espacios normados; Espacios métricos; Distancia; Espacio dual; Regularidad; Musielak-Orlicz space; dual space},
language = {eng},
number = {4-5-6},
pages = {543-561},
title = {Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.},
url = {http://eudml.org/doc/40795},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Hudzik, Henryk
AU - Zbaszyniak, Zenon
TI - Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 4-5-6
SP - 543
EP - 561
AB - A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.
LA - eng
KW - Espacio de Orlicz; Espacios normados; Espacios métricos; Distancia; Espacio dual; Regularidad; Musielak-Orlicz space; dual space
UR - http://eudml.org/doc/40795
ER -