| Title:
|
On the $H$-property of some Banach sequence spaces (English) |
| Author:
|
Suantai, Suthep |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
309-316 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we define a generalized Cesàro sequence space $\operatorname{ces\,}(p)$ and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that the space $\operatorname{ces\,}(p)$ posses property (H) and property (G), and it is rotund, where $p = (p_k)$ is a bounded sequence of positive real numbers with $p_k > 1$ for all $k \in N$. (English) |
| Keyword:
|
H-property |
| Keyword:
|
property (G) |
| Keyword:
|
Cesàro sequence spaces |
| Keyword:
|
Luxemburg norm |
| MSC:
|
46B20 |
| MSC:
|
46B45 |
| idZBL:
|
Zbl 1115.46012 |
| idMR:
|
MR2032104 |
| . |
| Date available:
|
2008-06-06T22:42:28Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107879 |
| . |
| 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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| . |
