A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases
| dc.creator | Johnson, W. B. | |
| dc.creator | Zheng, Bentuo | |
| dc.date | 2007-02-07 | |
| dc.date | 2007-04-14 | |
| dc.date.accessioned | 2026-07-07T07:56:27Z | |
| dc.date.available | 2026-07-07T07:56:27Z | |
| dc.description | We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a quotient of a reflexive Banach space with an unconditional finite dimensional decomposition embeds into a reflexive Banach space with an unconditional basis. | |
| dc.identifier | https://arxiv.org/abs/math/0702199 | |
| dc.identifier | http://arxiv.org/abs/math/0702199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127311 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03 | |
| dc.title | A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases | |
| dc.type | text |