| Title:
|
Normal structure and weakly normal structure of Orlicz spaces (English) |
| Author:
|
Chen, Shutao |
| Author:
|
Duan, Yanzheng |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
219-225 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Orlicz space |
| Keyword:
|
normal structure |
| MSC:
|
46B20 |
| MSC:
|
46B25 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0760.46023 |
| idMR:
|
MR1137782 |
| . |
| Date available:
|
2008-10-09T13:11:58Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116959 |
| . |
| Reference:
|
[1] Wu Congxin, Wang Tingfu, Chen Shutao, Wang Yuwen: Geometry of Orlicz spaces.Harbin, 1986. |
| Reference:
|
[2] Wu Congxin, Wang Tingfu: Orlicz spaces and their applications.Harbin, 1983. |
| Reference:
|
[3] Landes T.: Permanence properties of normal structure.Pacific J. Math. 110, No. 1 (1984), 125-143. Zbl 0534.46015, MR 0722744 |
| . |
