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.
@article{116959,
author = {Shutao Chen and Yanzheng Duan},
title = {Normal structure and weakly normal structure of Orlicz spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {32},
year = {1991},
pages = {219-225},
zbl = {0760.46023},
mrnumber = {1137782},
language = {en},
url = {http://dml.mathdoc.fr/item/116959}
}
Chen, Shutao; Duan, Yanzheng. Normal structure and weakly normal structure of Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 219-225. http://gdmltest.u-ga.fr/item/116959/
Geometry of Orlicz spaces, Harbin, 1986.
Orlicz spaces and their applications, Harbin, 1983.
Permanence properties of normal structure, Pacific J. Math. 110, No. 1 (1984), 125-143. (1984) | MR 0722744 | Zbl 0534.46015