| Title:
|
Nearly smooth points and near smoothness in Orlicz spaces (English) |
| Author:
|
Donghai, Ji |
| Author:
|
Lü, Yanming |
| Author:
|
Tingfu, Wang |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
721-732 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they differ. (English) |
| Keyword:
|
Orlicz space |
| Keyword:
|
nearly smooth points |
| Keyword:
|
near smoothness |
| MSC:
|
46B20 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1060.46510 |
| idMR:
|
MR1715461 |
| . |
| Date available:
|
2009-01-08T18:47:55Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119047 |
| . |
| Reference:
|
[1] Banaś F.: Compactness conditions in the geometric theory of Banach spaces.Nonlinear Anal. 16 (1991), 7-8 669-682. MR 1097324 |
| Reference:
|
[2] Banaś F., Sadarangani K.: Near smoothness of Banach spaces.Collect. Math. 46 (1995), 279-287. MR 1380368 |
| Reference:
|
[3] Krasnosel'skii M.A., Rutickii Ya.B.: Convex Function and Orlicz Spaces.Groningen, 1961. |
| Reference:
|
[4] Musielak J.: Orlicz spaces and modular spaces.Lecture Notes in Math. 1034, Springer, 1983. Zbl 0557.46020, MR 0724434 |
| Reference:
|
[5] Chen Shutao: Geometry of Orlicz spaces.Dissertationes Math. 356, Warsaw, 1996. Zbl 1089.46500, MR 1410390 |
| Reference:
|
[6] Chen S., Hudzik H., Kaminska A.: Support functionals and smooth points in Orlicz function spaces equipped with the Orlicz norm.Math. Japonica 39.2 (1994), 271-279. Zbl 0804.46035, MR 1270637 |
| Reference:
|
[7] Chen S., Hudzik H., Wisła M.: Smooth points in Orlicz sequence spaces and geometry of the dual and bidual of Orlicz spaces.Math. Japonica 44.2 (1996), 367-375. MR 1416279 |
| . |
