| Title:
|
Almost demi Dunford--Pettis operators on Banach lattices (English) |
| Author:
|
Benkhaled, Hedi |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
64 |
| Issue:
|
4 |
| Year:
|
2023 |
| Pages:
|
429-438 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce new concept of almost demi Dunford--Pettis operators. Let $E$ be a Banach lattice. An operator $T$ from $E$ into $E$ is said to be almost demi Dunford--Pettis if, for every sequence $\{x_{n}\}$ in $E_{+}$ such that $x_{n}\rightarrow 0$ in $\sigma(E,E')$ and $\|x_{n}-Tx_{n}\|\rightarrow 0$ as $n\rightarrow \infty$, we have $\|x_{n}\|\rightarrow 0$ as $n\rightarrow \infty$. In addition, we study some properties of this class of operators and its relationships with others known operators. (English) |
| Keyword:
|
almost demi Dunford--Pettis operator |
| Keyword:
|
Banach lattice |
| Keyword:
|
positive Schur property |
| MSC:
|
46A40 |
| MSC:
|
46B40 |
| MSC:
|
46B42 |
| idZBL:
|
Zbl 07953691 |
| idMR:
|
MR4813795 |
| DOI:
|
10.14712/1213-7243.2024.007 |
| . |
| Date available:
|
2024-11-05T11:45:43Z |
| Last updated:
|
2026-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152623 |
| . |
| 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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| . |
