| Title:
|
Weakly uniformly rotund Banach spaces (English) |
| Author:
|
Moltó, A. |
| Author:
|
Montesinos, V. |
| Author:
|
Orihuela, J. |
| Author:
|
Troyanski, S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
749-753 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The dual space of a WUR Banach space is weakly K-analytic. (English) |
| Keyword:
|
Banach spaces |
| Keyword:
|
weak uniform rotundity |
| Keyword:
|
K-analiticity |
| Keyword:
|
uniform G\^ateaux differentiability |
| MSC:
|
46B20 |
| MSC:
|
46B22 |
| MSC:
|
52A41 |
| idZBL:
|
Zbl 1060.46502 |
| idMR:
|
MR1715463 |
| . |
| Date available:
|
2009-01-08T18:48:10Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119049 |
| . |
| Reference:
|
[1] Cascales B.: On K-analytic locally convex spaces.Arch. Math. 49 (1987), 232-244. Zbl 0617.46014, MR 0906738 |
| Reference:
|
[2] Cascales B., Orihuela J.: A sequential property of set-valued maps.J. Math. Anal. Appl. 156 (1991), 86-100. Zbl 0760.54013, MR 1102599 |
| Reference:
|
[3] Deville R., Godefroy G., Zizler V.: Smoothness and Renormings in Banach Spaces.Longman Scientific and Technical, 1993. Zbl 0782.46019, MR 1211634 |
| Reference:
|
[4] Fabian M., Godefroy G.: The dual of every Asplund admits a projectional resolution of the identity.Studia Math. 91 (1988), 141-151. MR 0985081 |
| Reference:
|
[5] Fabian M., Hájek P., Zizler V.: On uniform Eberlein compacta and uniformly Gâteaux smooth norms.Serdica Math. J. 23 (1997), 1001-1010. MR 1660997 |
| Reference:
|
[6] Fabian M., Troyanski S.: A Banach space admits a locally uniformly rotund norm if its dual is a Vasšák space.Israel J. Math. 69 (1990), 214-224. MR 1045374 |
| Reference:
|
[7] Godefroy G., Troyanski S., Whitfield J.H.M., Zizler V.: Smoothness in weakly compactly generated Banach spaces.J. Functional Anal. 52 (1983), 344-352. Zbl 0517.46010, MR 0712585 |
| Reference:
|
[8] Hájek P.: Dual renormings of Banach spaces.Comment. Math. Univ. Carolinae 37 (1996), 241-253. MR 1398999 |
| Reference:
|
[9] Talagrand M.: Espaces de Banach faiblement K-analytiques.Annals of Math. 110 (1979), 407-438. MR 0554378 |
| . |
