| Title:
|
Banach space valued mappings of the first Baire class contained in usco mappings (English) |
| Author:
|
Spurný, Jiří |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
269-272 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions. (English) |
| Keyword:
|
Baire-one functions |
| Keyword:
|
usco map |
| Keyword:
|
usco-bounded sequence of continuous functions |
| MSC:
|
26A21 |
| MSC:
|
54C60 |
| MSC:
|
54E45 |
| idZBL:
|
Zbl 1199.54125 |
| idMR:
|
MR2338094 |
| . |
| Date available:
|
2009-05-05T17:02:46Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119656 |
| . |
| Reference:
|
[1] Engelking R.: General Topology.Heldermann Verlag, Berlin, 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[2] Kalenda O.F.K.: Baire-one mappings contained in a usco map.Comment. Math. Univ. Carolin. 48 (2007), 135-145. Zbl 1199.54121, MR 2338835 |
| . |
