| Title:
|
The weak Gelfand-Phillips property in spaces of compact operators (English) |
| Author:
|
Ghenciu, Ioana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
58 |
| Issue:
|
1 |
| Year:
|
2017 |
| Pages:
|
35-47 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For Banach spaces $X$ and $Y$, let $K_{w^*}(X^*,Y)$ denote the space of all $w^* - w$ continuous compact operators from $X^*$ to $Y$ endowed with the operator norm. A Banach space $X$ has the $wGP$ property if every Grothendieck subset of $X$ is relatively weakly compact. In this paper we study Banach spaces with property $wGP$. We investigate whether the spaces $K_{w^*}(X^*, Y)$ and $X\otimes_\epsilon Y$ have the $wGP$ property, when $X$ and $Y$ have the $wGP$ property. (English) |
| Keyword:
|
Grothendieck sets |
| Keyword:
|
property $wGP$ |
| MSC:
|
46B20 |
| MSC:
|
46B25 |
| MSC:
|
46B28 |
| idZBL:
|
Zbl 06736742 |
| idMR:
|
MR3631679 |
| DOI:
|
10.14712/1213-7243.2015.195 |
| . |
| Date available:
|
2017-03-12T16:36:58Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146026 |
| . |
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