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Article

Chen, Shutao ; Duan, Yanzheng
Normal structure and weakly normal structure of Orlicz spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 219-225
MSC: 46B20, 46B25, 46E30 | MR 1137782 | Zbl 0760.46023
Keywords:
Orlicz space; normal structure
Summary:
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.
References:
[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. MR 0722744 | Zbl 0534.46015
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