| Title:
|
Limited $p$-converging operators and relation with some geometric properties of Banach spaces (English) |
| Author:
|
Dehghani, Mohammad B. |
| Author:
|
Moshtaghioun, Seyed M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
62 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
417-430 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
By using the concepts of limited $p$-converging operators between two Banach spaces $X$ and $Y$, $L_p$-sets and $L_p$-limited sets in Banach spaces, we obtain some characterizations of these concepts relative to some well-known geometric properties of Banach spaces, such as $*$-Dunford--Pettis property of order $p$ and Pelczyński's property of order $p$, $1\leq p<\infty$. (English) |
| Keyword:
|
Gelfand--Phillips property |
| Keyword:
|
Schur property |
| Keyword:
|
$p$-Schur property |
| Keyword:
|
weakly $p$-compact set |
| Keyword:
|
reciprocal Dunford--Pettis property of order $p$ |
| MSC:
|
46B25 |
| MSC:
|
47L05 |
| idZBL:
|
Zbl 07511570 |
| idMR:
|
MR4405813 |
| DOI:
|
10.14712/1213-7243.2021.030 |
| . |
| Date available:
|
2022-02-21T13:23:03Z |
| Last updated:
|
2024-01-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149366 |
| . |
| Reference:
|
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