| Title:
|
On Lipschitz and d.c. surfaces of finite codimension in a Banach space (English) |
| Author:
|
Zajíček, Luděk |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
849-864 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Properties of Lipschitz and d.c. surfaces of finite codimension in a Banach space and properties of generated $\sigma $-ideals are studied. These $\sigma $-ideals naturally appear in the differentiation theory and in the abstract approximation theory. Using these properties, we improve an unpublished result of M. Heisler which gives an alternative proof of a result of D. Preiss on singular points of convex functions. (English) |
| Keyword:
|
Banach space |
| Keyword:
|
Lipschitz surface |
| Keyword:
|
d.c. surface |
| Keyword:
|
multiplicity points of monotone operators |
| Keyword:
|
singular points of convex functions |
| Keyword:
|
Aronszajn null sets |
| MSC:
|
46T05 |
| MSC:
|
47H05 |
| MSC:
|
58C20 |
| idZBL:
|
Zbl 1174.46040 |
| idMR:
|
MR2455942 |
| . |
| Date available:
|
2010-07-20T14:13:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140425 |
| . |
| 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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| . |
