| Title:
|
Concerning weak$^*$-extreme points (English) |
| Author:
|
Matoušková, Eva |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
245-248 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Every separable nonreflexive Banach space admits an equivalent norm such that the set of the weak$^*$-extreme points of the unit ball is discrete. (English) |
| Keyword:
|
weak$^*$-extreme points |
| Keyword:
|
equivalent norm |
| Keyword:
|
nonreflexive Banach spaces |
| MSC:
|
46B03 |
| MSC:
|
46B20 |
| idZBL:
|
Zbl 0831.46010 |
| idMR:
|
MR1357525 |
| . |
| Date available:
|
2009-01-08T18:17:35Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118752 |
| . |
| Reference:
|
[G] Godun B.V.: Preserved extreme points.Funct. Anal. i Prilož. 19 (1985), 76-77. Zbl 0591.46004, MR 0800926 |
| Reference:
|
[GLT] Godun B.V., Bor-Luh Lin, Troyanski S.L.: On the strongly extreme points of convex bodies in separable Banach spaces.Proc. AMS 114 (1992), 673-675. MR 1070518 |
| Reference:
|
[J] James R.C.: Characterizations of reflexivity.Studia Math. 23 (1964), 205-216. Zbl 0113.09303, MR 0170192 |
| Reference:
|
[LP] Lindenstrauss J., Phelps R.R.: Extreme point properties of convex bodies in reflexive Banach spaces.Israel J. Math. 6 (1968), 39-48. Zbl 0157.43802, MR 0234260 |
| Reference:
|
[P] Phelps R.R.: Dentability and extreme points in Banach spaces.Journal of Functional Analysis 17 (1974), 78-90. Zbl 0287.46026, MR 0352941 |
| Reference:
|
[R] Rosenthal H.P.: On norm-attaining functionals and the equivalence of the weak$^*$-KMP with the RNP.Longhorn Notes, The University of Texas at Austin, 1985/86, pp. 1-12. MR 1017038 |
| Reference:
|
[S] Stegall C.: Vorlesungen aus dem Fachbereich Mathematik der Universität Essen.Heft 10, 1983, pp. 1-61. |
| . |
