| Title:
|
$w^*$-basic sequences and reflexivity of Banach spaces (English) |
| Author:
|
John, Kamil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
677-681 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We observe that a separable Banach space $X$ is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if $\mathcal L(X,Y)$ is not reflexive for reflexive $X$ and $Y$ then $\mathcal L(X_1, Y)$ is is not reflexive for some $X_1\subset X$, $X_1$ having a basis. (English) |
| Keyword:
|
reflexive Banach space |
| Keyword:
|
Schauder basis |
| Keyword:
|
quotient space |
| Keyword:
|
w$^*$-basic sequence |
| Keyword:
|
tensor product |
| MSC:
|
46B10 |
| MSC:
|
46B15 |
| MSC:
|
46B28 |
| idZBL:
|
Zbl 1081.46017 |
| idMR:
|
MR2153091 |
| . |
| Date available:
|
2009-09-24T11:26:30Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128011 |
| . |
| 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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| . |
