| Title:
|
A complement of positive weak almost Dunford-Pettis operators on Banach lattices (English) |
| Author:
|
Retbi, Abderrahman |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
1-6 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we give some necessary and sufficient conditions such that each positive operator between two Banach lattices is weak almost Dunford-Pettis, and we derive some interesting results about the weak Dunford-Pettis property in Banach lattices. (English) |
| Keyword:
|
Banach lattice |
| Keyword:
|
weak almost Dunford-Pettis operator |
| Keyword:
|
weak Dunford-Pettis property |
| MSC:
|
46A40 |
| MSC:
|
46B40 |
| MSC:
|
46G42 |
| idZBL:
|
Zbl 07088752 |
| idMR:
|
MR3939058 |
| DOI:
|
10.5817/AM2019-1-1 |
| . |
| Date available:
|
2019-03-23T12:17:32Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147642 |
| . |
| Reference:
|
[1] Aliprantis, C.D., Burkinshaw, O.: Positive operators.Springer, Dordrecht, 2006, Reprint of the 1985 original. MR 2262133 |
| Reference:
|
[2] Bouras, K.: Almost Dunford-Pettis sets in Banach lattices.Rend. Circ. Mat. Palermo (2) 62 (2013), 227–236. MR 3090872, 10.1007/s12215-013-0105-y |
| Reference:
|
[3] Bouras, K., Moussa, M.: Banach lattice with weak Dunford-Pettis property.International Journal of Information and Mathematical Sciences 6 (3) (2010), 203–207. |
| Reference:
|
[4] Meyer-Nieberg, P.: Banach lattices.Tech. report, Universitext, 1991, Springer-Verlag, Berlin. Zbl 0743.46015, MR 1128093 |
| Reference:
|
[5] Schaefer, H.H.: Banach Lattices and Positive Operators.Springer-Verlag, Berlin – New York, 1974. Zbl 0296.47023, MR 0423039 |
| Reference:
|
[6] Wnuk, W.: Banach lattices with the weak Dunford-Pettis property.Atti Sem. Mat. Fis. Univ. Modena 42 (1) (1994), 227–236. MR 1282338 |
| Reference:
|
[7] Wnuk, W.: Banach Lattices with Order Continuous Norms.Polish Scientific Publishers, Warsaw, 1999. |
| . |
