| Title:
|
Locally flat Banach spaces (English) |
| Author:
|
Johanis, Michal |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
273-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates. (English) |
| Keyword:
|
polyhedrality |
| MSC:
|
46A03 |
| MSC:
|
46B10 |
| MSC:
|
46B20 |
| idZBL:
|
Zbl 1224.46024 |
| idMR:
|
MR2486630 |
| . |
| Date available:
|
2010-07-20T15:06:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140478 |
| . |
| Reference:
|
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| . |
