On some properties for dual spaces of Musielak-Orlicz function spaces

Zenon Zbąszyniak

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 413-418
  • ISSN: 0137-6934

Abstract

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We will present relationships between the modular ρ* and the norm in the dual spaces ( L Φ ) * in the case when a Musielak-Orlicz space L Φ is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space ( L Φ ) * will be presented.

How to cite

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Zenon Zbąszyniak. "On some properties for dual spaces of Musielak-Orlicz function spaces." Banach Center Publications 92.1 (2011): 413-418. <http://eudml.org/doc/281699>.

@article{ZenonZbąszyniak2011,
abstract = {We will present relationships between the modular ρ* and the norm in the dual spaces $(L_\{Φ\})*$ in the case when a Musielak-Orlicz space $L_\{Φ\}$ is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space $(L⁰_\{Φ\})*$ will be presented.},
author = {Zenon Zbąszyniak},
journal = {Banach Center Publications},
keywords = {Orlicz norm; extreme points; Musielak-Orlicz space},
language = {eng},
number = {1},
pages = {413-418},
title = {On some properties for dual spaces of Musielak-Orlicz function spaces},
url = {http://eudml.org/doc/281699},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Zenon Zbąszyniak
TI - On some properties for dual spaces of Musielak-Orlicz function spaces
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 413
EP - 418
AB - We will present relationships between the modular ρ* and the norm in the dual spaces $(L_{Φ})*$ in the case when a Musielak-Orlicz space $L_{Φ}$ is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space $(L⁰_{Φ})*$ will be presented.
LA - eng
KW - Orlicz norm; extreme points; Musielak-Orlicz space
UR - http://eudml.org/doc/281699
ER -

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