| Title:
|
On the uniformly normal structure of Orlicz spaces with Orlicz norm (English) |
| Author:
|
Wang, Tingfu |
| Author:
|
Shi, Zhongrui |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
433-442 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity. (English) |
| Keyword:
|
Orlicz spaces |
| Keyword:
|
uniformly normal structure |
| MSC:
|
46B20 |
| MSC:
|
46B42 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0802.46049 |
| idMR:
|
MR1243075 |
| . |
| Date available:
|
2009-01-08T18:05:04Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118600 |
| . |
| Reference:
|
[1] Belluce L.P., Kirk W.A., Steiner E.F.: Normal structure in Banach spaces.Pacific J. Math. 26 (1968), 433-440. Zbl 0164.15001, MR 0233178 |
| Reference:
|
[2] Bae J.S.: Reflexivity of a Banach space with a uniformly normal structure.Proc. Amer. Math. Soc. 90 (1984), 269-270. Zbl 0548.46014, MR 0727247 |
| Reference:
|
[3] Landes T.: Normal structure and weakly normal structure of Orlicz sequence spaces.Trans. AMS 285 (1984), 523-533. Zbl 0594.46010, MR 0752489 |
| Reference:
|
[4] Tingfu Wang, Baoxiang Wang: Normal structure ad sum-property and LD property of Orlicz spaces.J. Math. Res. Exp. 12 (1992), 477-478. |
| Reference:
|
[5] Shutao Chen, Yanzheng Duan: Normal structure and weakly normal structure of Orlicz space s.Comment. Math. Univ. Carolinae 32 (1991), 219-225. MR 1137782 |
| Reference:
|
[6] Shutao Chen, Huiying Sun: Reflexive Orlicz spaces have uniformly normal structure.to appear. MR 1269776 |
| Reference:
|
[7] Krasnoselskii M.A., Rutickii Ya.B.: Convex Functions and Orlicz Spaces.Moscow, 1958. |
| Reference:
|
[8] Wu C., Wang T., Chen S., Wang Y.: Geometry of Orlicz Spaces.H.I.T. Press, Harbin, 1986. |
| Reference:
|
[9] Shutao Chen: Some rotundities of Orlicz spaces with Orlicz norm.Bull. Polish Academy Sci. Math. 34 (1986), 585-596. MR 0884206 |
| . |
