| Title:
|
On infinite dimensional uniform smoothness of Banach spaces (English) |
| Author:
|
Prus, Stanisław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
97-105 |
| . |
| Category:
|
math |
| . |
| Summary:
|
An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some $l_p$-type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property. (English) |
| Keyword:
|
Banach space |
| Keyword:
|
nearly uniform smoothness |
| Keyword:
|
finite dimensional decomposition |
| Keyword:
|
Banach-Saks property |
| Keyword:
|
fixed point property |
| MSC:
|
46B20 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 1060.46504 |
| idMR:
|
MR1715204 |
| . |
| Date available:
|
2009-01-08T18:49:56Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119065 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
