On nonatomic Banach lattices and Hardy spaces
| dc.creator | Kalton, Nigel J. | |
| dc.creator | Wojtaszczyk, P. | |
| dc.date | 1992-06-05 | |
| dc.date.accessioned | 2026-07-07T09:14:47Z | |
| dc.date.available | 2026-07-07T09:14:47Z | |
| dc.description | We are interested in the question when a Banach space $X$ with an unconditional basis is isomorphic (as a Banach space) to an order-continuous nonatomic Banach lattice. We show that this is the case if and only if $X$ is isomorphic as a Banach space with $X(\ell_2)$. This and results of J. Bourgain are used to show that spaces $H_1(\bold T^n)$ are not isomorphic to nonatomic Banach lattices. We also show that tent spaces introduced in \cite{4} are isomorphic to Rad $H_1$. | |
| dc.identifier | https://arxiv.org/abs/math/9206202 | |
| dc.identifier | http://arxiv.org/abs/math/9206202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152801 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | On nonatomic Banach lattices and Hardy spaces | |
| dc.type | text |