| Title:
|
On uniformly nonsquare points and nonsquare points of Orlicz spaces (English) |
| Author:
|
Wang, Tingfu |
| Author:
|
Shi, Zhongrui |
| Author:
|
Li, Yanhong |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
477-484 |
| . |
| Category:
|
math |
| . |
| Summary:
|
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given. (English) |
| Keyword:
|
Orlicz space |
| Keyword:
|
uniformly nonsquare point |
| Keyword:
|
nonsquare point |
| MSC:
|
46B20 |
| MSC:
|
46B25 |
| MSC:
|
46B30 |
| MSC:
|
46B40 |
| MSC:
|
46B42 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 0788.46031 |
| idMR:
|
MR1209289 |
| . |
| Date available:
|
2009-01-08T17:57:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118515 |
| . |
| Reference:
|
[1] James R.C.: Uniformly nonsquare Banach spaces.Ann. Math. 80:3 (1964), 542-550. MR 0173932 |
| Reference:
|
[2] Schäffer J.J.: Geometry of Sphere in Normed Spaces.Lect. Not. Pure Appl. Math. 20 (1976). MR 0467256 |
| Reference:
|
[3] Wu C., Wang T., Chen S., Wang Y.: Geometry of Orlicz spaces.Printing House H.I.T., Harbin, 1986. |
| Reference:
|
[4] Chen S., Wang Y.: On the definition of nonsquareness in normed spaces.China Ann. Math. 9A , 3 (1988), 330-334. MR 0997134 |
| Reference:
|
[5] Chen S.: Nonsquareness of Orlicz spaces.ibid. 6A , 5 (1985), 607-613. MR 0843901 |
| Reference:
|
[6] Wang Y., Chen S.: Nonsquareness, B-convexity and flatness of Orlicz spaces with Orlicz norm.Prace Mat. 28 (1988), 155-165. MR 0988969 |
| Reference:
|
[7] Hudzik H.: Uniformly non-$1_n^{(1)}$ Orlicz spaces with Luxemburg norm.Studia Math. 81 , 3 (1985), 271-284. MR 0808569 |
| Reference:
|
[6] Hudzik H.: Locally Uniformly Non-$1_n^{(1)}$ Orlicz Spaces.Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II-numero 10 (1985), 49-56. MR 0894271 |
| . |
