| Title:
|
Strong subdifferentiability of norms and geometry of Banach spaces (English) |
| Author:
|
Godefroy, G. |
| Author:
|
Montesinos, V. |
| Author:
|
Zizler, V. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
493-502 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The strong subdifferentiability of norms (i.e\. one-sided differentiability uniform in directions) is studied in connection with some structural properties of Banach spaces. It is shown that every separable Banach space with nonseparable dual admits a norm that is nowhere strongly subdifferentiable except at the origin. On the other hand, every Banach space with a strongly subdifferentiable norm is Asplund. (English) |
| Keyword:
|
strong subdifferentiability of norms |
| Keyword:
|
Asplund spaces |
| Keyword:
|
renormings |
| Keyword:
|
weak compact generating |
| MSC:
|
46B03 |
| MSC:
|
46B20 |
| MSC:
|
46B26 |
| idZBL:
|
Zbl 0844.46006 |
| idMR:
|
MR1364490 |
| . |
| Date available:
|
2009-01-08T18:19:38Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118778 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
