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

Henryk Hudzik; Zenon Zbaszyniak

Collectanea Mathematica (1997)

- Volume: 48, Issue: 4-5-6, page 543-561
- ISSN: 0010-0757

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topHudzik, 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 -

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