On the uniformly normal structure of Orlicz spaces with Orlicz norm
Wang, Ting Fu ; Shi, Zhong Rui
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 433-442 / Harvested from Czech Digital Mathematics Library

We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.

Publié le : 1993-01-01
Classification:  46B20,  46B42,  46E30
@article{118600,
     author = {Ting Fu Wang and Zhong Rui Shi},
     title = {On the uniformly normal structure of Orlicz spaces with Orlicz norm},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {433-442},
     zbl = {0802.46049},
     mrnumber = {1243075},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118600}
}
Wang, Ting Fu; Shi, Zhong Rui. On the uniformly normal structure of Orlicz spaces with Orlicz norm. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 433-442. http://gdmltest.u-ga.fr/item/118600/

Belluce L.P.; Kirk W.A.; Steiner E.F. Normal structure in Banach spaces, Pacific J. Math. 26 (1968), 433-440. (1968) | MR 0233178 | Zbl 0164.15001

Bae J.S. Reflexivity of a Banach space with a uniformly normal structure, Proc. Amer. Math. Soc. 90 (1984), 269-270. (1984) | MR 0727247 | Zbl 0548.46014

Landes T. Normal structure and weakly normal structure of Orlicz sequence spaces, Trans. AMS 285 (1984), 523-533. (1984) | MR 0752489 | Zbl 0594.46010

Tingfu Wang; Baoxiang Wang Normal structure ad sum-property and LD property of Orlicz spaces, J. Math. Res. Exp. 12 (1992), 477-478. (1992)

Shutao Chen; Yanzheng Duan Normal structure and weakly normal structure of Orlicz space s, Comment. Math. Univ. Carolinae 32 (1991), 219-225. (1991) | MR 1137782

Shutao Chen; Huiying Sun Reflexive Orlicz spaces have uniformly normal structure, to appear. | MR 1269776

Krasnoselskii M.A.; Rutickii Ya.B. Convex Functions and Orlicz Spaces, Moscow, 1958.

Wu C.; Wang T.; Chen S.; Wang Y. Geometry of Orlicz Spaces, H.I.T. Press, Harbin, 1986.

Shutao Chen Some rotundities of Orlicz spaces with Orlicz norm, Bull. Polish Academy Sci. Math. 34 (1986), 585-596. (1986) | MR 0884206