| Title:
|
The order $\sigma $-complete vector lattice of AM-compact operators (English) |
| Author:
|
Aqzzouz, Belmesnaoui |
| Author:
|
Nouira, Redouane |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
827-834 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $\sigma $-complete vector lattice. (English) |
| Keyword:
|
AM-compact operator |
| Keyword:
|
order continuous norm |
| Keyword:
|
discrete vector lattice |
| MSC:
|
46A40 |
| MSC:
|
46B40 |
| MSC:
|
46B42 |
| MSC:
|
47B07 |
| MSC:
|
47B60 |
| idZBL:
|
Zbl 1222.47063 |
| idMR:
|
MR2545658 |
| . |
| Date available:
|
2010-07-20T15:42:06Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140518 |
| . |
| 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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| Reference:
|
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| Reference:
|
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| . |
