| Title:
|
Weak orthogonality and weak property ($\beta $) in some Banach sequence spaces (English) |
| Author:
|
Cui, Yunan |
| Author:
|
Hudzik, Henryk |
| Author:
|
Płuciennik, Ryszard |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
303-316 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property (${\mathbf \beta }$) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given. (English) |
| Keyword:
|
Köthe sequence space |
| Keyword:
|
Orlicz sequence space |
| Keyword:
|
weak orthogonality |
| Keyword:
|
weak property (${\mathbf \beta }$) |
| MSC:
|
46A45 |
| MSC:
|
46B10 |
| MSC:
|
46B20 |
| MSC:
|
46B45 |
| MSC:
|
46E30 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 0954.46004 |
| idMR:
|
MR1692465 |
| . |
| Date available:
|
2009-09-24T10:22:38Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127489 |
| . |
| 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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| 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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| . |
