| Title:
|
A note on Banach spaces with $\ell^1$-saturated duals (English) |
| Author:
|
Leung, Denny H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
515-517 |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that there exists a Banach space with an unconditional basis which is not $c_0$-saturated, but whose dual is $\ell^1$-saturated. (English) |
| Keyword:
|
dual space |
| Keyword:
|
$\ell^1$-saturated spaces |
| MSC:
|
46B10 |
| MSC:
|
46B20 |
| idZBL:
|
Zbl 0881.46016 |
| idMR:
|
MR1426916 |
| . |
| Date available:
|
2009-01-08T18:25:47Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118858 |
| . |
| Reference:
|
[1] Carothers N.L., Dilworth S.J.: Subspaces of $L^{p,q}$.Proc. Amer. Math. Soc. 104 (1988), 537-545. MR 0962825 |
| Reference:
|
[2] Leung D.H.: On $c_0$-saturated Banach spaces.Illinois J. Math. 39 (1995), 15-29. MR 1299646 |
| Reference:
|
[3] Lindenstrauss J., Tzafriri L.: Classical Banach Spaces I.Springer-Verlag, 1977. Zbl 0362.46013, MR 0500056 |
| Reference:
|
[4] Lindenstrauss J., Tzafriri L.: Classical Banach Spaces II.Springer-Verlag, 1979. Zbl 0403.46022, MR 0540367 |
| . |
