On factorization of operators through the spaces $l^p.$
| dc.creator | Reinov, Oleg I. | |
| dc.date | 2001-07-20 | |
| dc.date.accessioned | 2026-07-07T04:42:40Z | |
| dc.date.available | 2026-07-07T04:42:40Z | |
| dc.description | We give conditions on a pair of Banach spaces $X$ and $Y,$ under which each operator from $X$ to $Y,$ whose second adjoint factors compactly through the space $l^p,$ $1\le p\le+\infty$, itself compactly factors through $l^p.$ The conditions are as follows: either the space $X^*,$ or the space $Y^{***}$ possesses the Grothendieck approximation property. Leaving the corresponding question for parameters $p>1, p\neq 2,$ still open, we show that for $p=1$ the conditions are essential. | |
| dc.description | 8 pages, AMSTeX; for the next paper see math.FA/0107113 | |
| dc.identifier | https://arxiv.org/abs/math/0107153 | |
| dc.identifier | http://arxiv.org/abs/math/0107153 | |
| dc.identifier | Vestnik SPb GU, ser. Matematika, 2 (2000), 27-32 (in Russian) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61881 | |
| dc.subject | Functional Analysis | |
| dc.title | On factorization of operators through the spaces $l^p.$ | |
| dc.type | text |