The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures
| dc.creator | Casazza, Peter G. | |
| dc.creator | Nielsen, Niels Jorgen | |
| dc.date | 1999-10-14 | |
| dc.date.accessioned | 2026-07-07T05:31:09Z | |
| dc.date.available | 2026-07-07T05:31:09Z | |
| dc.description | The main result of this paper states that if a Banach space X has the property that every bounded operator from an arbitrary subspace of X into an arbitrary Banach space of cotype 2 extends to a bounded operator on X, then $B(\ell_{\infty},X^*)=Π_2(\ell_{\infty},X^*)$. If in addition X has the Gaussian average property, then it is of type 2. This implies that the same conclusion holds if X has the Gordon-Lewis property (in particular X could be a Banach lattice) or if X is isomorphic to a subspace of a Banach lattice of finite cotype, thus solving the Maurey extension property for these classes of spaces. The paper also contains a detailed study of the property of extending operators with values in $\ell_p$-spaces, $1\le p<\infty$. | |
| dc.description | 26 pages, latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9910073 | |
| dc.identifier | http://arxiv.org/abs/math/9910073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79241 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20, 46B42 | |
| dc.title | The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures | |
| dc.type | text |