| Title:
|
Dual renormings of Banach spaces (English) |
| Author:
|
Hájek, Petr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
241-253 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that a Banach space admitting an equivalent WUR norm is an Asplund space. Some related dual renormings are also presented. (English) |
| Keyword:
|
Asplund space |
| Keyword:
|
weakly uniformly rotund norms |
| Keyword:
|
James spaces |
| MSC:
|
46B03 |
| MSC:
|
46B20 |
| idZBL:
|
Zbl 0855.46005 |
| idMR:
|
MR1398999 |
| . |
| Date available:
|
2009-01-08T18:23:23Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118829 |
| . |
| Reference:
|
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| Reference:
|
[2] Diestel J.: Geometry of Banach Spaces-Selected Topics.Lecture Notes 485, SpringerVerlag, 1975. Zbl 0466.46021, MR 0461094 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[5] James R.C.: A separable somewhat reflexive space with nonseparable dual.Bull. Amer. Math. Soc. 80 (1974), 738-743. MR 0417763 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Pelczynski A.: On Banach spaces containing $L_1(\mu)$.Studia Math. 30 (1968), 231-246. MR 0232195 |
| Reference:
|
[9] Singer I.: On the problem of non-smoothness of non-reflexive second conjugate spaces.Bull. Austral. Math. Soc. 12 (1975), 407-416. Zbl 0299.46017, MR 0383049 |
| Reference:
|
[10] Stegall C.: The Radon-Nikodym property in conjugate Banach spaces.ibid. 206 (1975), 213-223. Zbl 0318.46056, MR 0374381 |
| . |
