| Title:
|
On projectional skeletons in Vašák spaces (English) |
| Author:
|
Kalenda, Ondřej F. K. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
58 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
173-182 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We provide an alternative proof of the theorem saying that any Vašák (or, weakly countably determined) Banach space admits a full $1$-projectional skeleton. The proof is done with the use of the method of elementary submodels and is comparably simple as the proof given by W. Kubiś (2009) in case of weakly compactly generated spaces. (English) |
| Keyword:
|
Vašák Banach space |
| Keyword:
|
projectional skeleton |
| Keyword:
|
elementary submodel |
| MSC:
|
03C30 |
| MSC:
|
46B26 |
| idZBL:
|
Zbl 06773712 |
| idMR:
|
MR3666939 |
| DOI:
|
10.14712/1213-7243.2015.200 |
| . |
| Date available:
|
2017-06-13T13:22:35Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146786 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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