Previous |  Up |  Next


Orlicz space; normal structure
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.
[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
Partner of
EuDML logo