| Title:
|
The weak compactness of almost Dunford-Pettis operators (English) |
| Author:
|
Aqzzouz, Belmesnaoui |
| Author:
|
Elbour, Aziz |
| Author:
|
Aboutafail, Othman |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
31-35 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact. (English) |
| Keyword:
|
almost Dunford-Pettis operator |
| Keyword:
|
weakly compact operator |
| Keyword:
|
order continuous norm |
| Keyword:
|
reflexive Banach space |
| MSC:
|
46A40 |
| MSC:
|
46B40 |
| MSC:
|
46B42 |
| idZBL:
|
Zbl 1240.46040 |
| idMR:
|
MR2828372 |
| . |
| Date available:
|
2011-03-08T17:34:50Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141426 |
| . |
| Reference:
|
[1] Aliprantis C.D., Burkinshaw O.: Positive Operators.reprint of the 1985 original, Springer, Dordrecht, 2006. Zbl 1098.47001, MR 2262133 |
| Reference:
|
[2] Aqzzouz B., Nouira R., Zraoula L.: Les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts.Proc. Amer. Math. Soc. 134 (2006), 1161–1165. Zbl 1099.46016, MR 2196052, 10.1090/S0002-9939-05-08083-4 |
| Reference:
|
[3] Meyer-Nieberg P.: Banach Lattices.Universitext, Springer, Berlin, 1991. Zbl 0743.46015, MR 1128093 |
| Reference:
|
[4] Wnuk W.: Banach lattices with the weak Dunford-Pettis property.Atti Sem. Mat. Fis. Univ. Modena 42 (1994), no. 1, 227–236. Zbl 0805.46023, MR 1282338 |
| . |
