| Title:
|
A note on L-Dunford-Pettis sets in a topological dual Banach space (English) |
| Author:
|
Retbi, Abderrahman |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
1047-1057 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces. (English) |
| Keyword:
|
L-Dunford-Pettis set |
| Keyword:
|
weak almost Dunford-Pettis operator |
| Keyword:
|
weak Dunford-Pettis property |
| Keyword:
|
Banach lattice |
| MSC:
|
46A40 |
| MSC:
|
46B40 |
| MSC:
|
46B42 |
| idZBL:
|
07285978 |
| idMR:
|
MR4181795 |
| DOI:
|
10.21136/CMJ.2020.0119-19 |
| . |
| Date available:
|
2020-11-18T09:45:43Z |
| Last updated:
|
2023-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148410 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
