Normal structure and weakly normal structure of Orlicz spaces

Shutao Chen; Yanzheng Duan

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 2, page 219-225
  • ISSN: 0010-2628

Abstract

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Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every Orlicz space has isonormal structure.

How to cite

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Chen, Shutao, and Duan, Yanzheng. "Normal structure and weakly normal structure of Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 219-225. <http://eudml.org/doc/247283>.

@article{Chen1991,
abstract = {Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every Orlicz space has isonormal structure.},
author = {Chen, Shutao, Duan, Yanzheng},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Orlicz space; normal structure; Orlicz space equipped with the Luxemburg norm; normal structure; Orlicz norm},
language = {eng},
number = {2},
pages = {219-225},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Normal structure and weakly normal structure of Orlicz spaces},
url = {http://eudml.org/doc/247283},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Chen, Shutao
AU - Duan, Yanzheng
TI - Normal structure and weakly normal structure of Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 2
SP - 219
EP - 225
AB - Every Orlicz space equipped with Orlicz norm has weak sum property, therefore, it has weakly normal structure and fixed point property. A criterion of sum property also of normal structure for such spaces is given as well, which shows that every Orlicz space has isonormal structure.
LA - eng
KW - Orlicz space; normal structure; Orlicz space equipped with the Luxemburg norm; normal structure; Orlicz norm
UR - http://eudml.org/doc/247283
ER -

References

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  1. Wu Congxin, Wang Tingfu, Chen Shutao, Wang Yuwen, Geometry of Orlicz spaces, Harbin, 1986. 
  2. Wu Congxin, Wang Tingfu, Orlicz spaces and their applications, Harbin, 1983. 
  3. Landes T., Permanence properties of normal structure, Pacific J. Math. 110, No. 1 (1984), 125-143. (1984) Zbl0534.46015MR0722744

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