| Title:
|
On copies of $c_0$ in the bounded linear operator space (English) |
| Author:
|
Ferrando, J. C. |
| Author:
|
Amigó, J. M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
651-656 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we study some properties concerning certain copies of the classic Banach space $c_{0}$ in the Banach space $\mathcal{L}\left( X,Y\right) $ of all bounded linear operators between a normed space $X$ and a Banach space $Y$ equipped with the norm of the uniform convergence of operators. (English) |
| Keyword:
|
Banach space basic sequence copy of $c_{0}$ copy of $\ell _{\infty }$ |
| Keyword:
|
basic sequence |
| Keyword:
|
copy of $c_{0}$ |
| Keyword:
|
copy of $\ell _{\infty }$ |
| MSC:
|
46B03 |
| MSC:
|
46B25 |
| MSC:
|
46B28 |
| MSC:
|
46E40 |
| idZBL:
|
Zbl 1079.46512 |
| idMR:
|
MR1777485 |
| . |
| Date available:
|
2009-09-24T10:36:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127600 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[Dr1] L. Drewnowski: Copies of $\ell _{\infty }$ in an operator space.Math. Proc. Cambridge Philos. Soc. 108 (1990), 523–526. MR 1068453, 10.1017/S0305004100069401 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[Fe1] J. C. Ferrando: When does $bvca\left( \Sigma ,X\right) $ contain a copy of $\ell _{\infty }$?.Math. Scand. 74 (1994), 271–274. MR 1298368 |
| Reference:
|
[Fe2] J. C. Ferrando: Copies of $c_{0}$ in certain vector-valued function Banach spaces.Math. Scand. 77 (1995), 148–152. MR 1365911, 10.7146/math.scand.a-12555 |
| Reference:
|
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| Reference:
|
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| . |
