| Title:
|
Noncommutative Valdivia compacta (English) |
| Author:
|
Cúth, Marek |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
53-72 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove some generalizations of results
concerning Valdivia compact spaces
(equivalently spaces with a commutative
retractional skeleton) to the spaces
with a retractional skeleton
(not necessarily commutative).
Namely, we show that the dual unit ball
of a Banach space is Corson provided
the dual unit ball of every equivalent
norm has a retractional skeleton.
Another result to be mentioned is the
following. Having a compact space $K$,
we show that $K$ is Corson if and only
if every continuous image of $K$ has
a retractional skeleton. We also present
some open problems in this area. (English) |
| Keyword:
|
retractional skeleton |
| Keyword:
|
projectional skeleton |
| Keyword:
|
Valdivia compacta |
| Keyword:
|
Plichko spaces |
| MSC:
|
46B26 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 06383785 |
| idMR:
|
MR3160826 |
| . |
| Date available:
|
2014-01-17T09:34:40Z |
| Last updated:
|
2016-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143568 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
