| Title:
|
A note on Dunford-Pettis like properties and complemented spaces of operators (English) |
| Author:
|
Ghenciu, Ioana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
207-222 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Equivalent formulations of the Dunford-Pettis property of order $p$ (${DPP}_p$), $1<p<\infty$, are studied. Let $L(X,Y)$, $W(X,Y)$, $K(X,Y)$, $U(X,Y)$, and $C_p(X,Y)$ denote respectively the sets of all bounded linear, weakly compact, compact, unconditionally converging, and $p$-convergent operators from $X$ to $Y$. Classical results of Kalton are used to study the complementability of the spaces $W(X,Y)$ and $K(X,Y)$ in the space $C_p(X,Y)$, and of $C_p(X,Y)$ in $U(X,Y)$ and $L(X,Y)$. (English) |
| Keyword:
|
Dunford-Pettis property of order $p$ |
| Keyword:
|
$p$-convergent operator |
| Keyword:
|
complemented spaces of operators |
| MSC:
|
46B20 |
| MSC:
|
46B25 |
| MSC:
|
46B28 |
| idZBL:
|
Zbl 06940864 |
| idMR:
|
MR3815686 |
| DOI:
|
10.14712/1213-7243.2015.238 |
| . |
| Date available:
|
2018-06-28T08:44:32Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147255 |
| . |
| Reference:
|
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