On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

Paweł Kolwicz. "On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm." Banach Center Publications 68.1 (2005): 79-86. <http://eudml.org/doc/282112>.

@article{PawełKolwicz2005,
abstract = {We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].},
author = {Paweł Kolwicz},
journal = {Banach Center Publications},
keywords = {Köthe space; Musielak–Orlicz space; property ; order continuity},
language = {eng},
number = {1},
pages = {79-86},
title = {On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm},
url = {http://eudml.org/doc/282112},
volume = {68},
year = {2005},
}

TY - JOUR
AU - Paweł Kolwicz
TI - On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 79
EP - 86
AB - We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].
LA - eng
KW - Köthe space; Musielak–Orlicz space; property ; order continuity
UR - http://eudml.org/doc/282112
ER -