Containment of $\c_0$ and $\ell_1$ in $Π_1(E,F)$
| dc.creator | Alimohammady, Mohsen | |
| dc.date | 2006-07-26 | |
| dc.date.accessioned | 2026-07-07T07:20:56Z | |
| dc.date.available | 2026-07-07T07:20:56Z | |
| dc.description | Suppose $Π_1(E, F)$ is the space of all absolutely 1-summing operators between two Banach spaces $E$ and $F$. We show that if $F$ has a copy of $c_0$, then $Π_1(E, F)$ will have a copy of $c_0$, and under some conditions if $E$ has a copy of $\ell_1$ then $Π_1(E, F)$ would have a complemented copy of $\ell_1$. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607651 | |
| dc.identifier | http://arxiv.org/abs/math/0607651 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115129 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B10; 46B20 | |
| dc.title | Containment of $\c_0$ and $\ell_1$ in $Π_1(E,F)$ | |
| dc.type | text |