Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to $c_0$
| dc.creator | Casazza, Peter G. | |
| dc.creator | Christensen, Ole | |
| dc.date | 1995-09-22 | |
| dc.date.accessioned | 2026-07-07T09:15:24Z | |
| dc.date.available | 2026-07-07T09:15:24Z | |
| dc.description | We prove that a Hilbert space frame $\fti$ contains a Riesz basis if every subfamily $\ftj , J \subseteq I ,$ is a frame for its closed span. Secondly we give a new characterization of Banach spaces which do not have any subspace isomorphic to $c_0$. This result immediately leads to an improvement of a recent theorem of Holub concerning frames consisting of a Riesz basis plus finitely many elements. | |
| dc.identifier | https://arxiv.org/abs/math/9509214 | |
| dc.identifier | http://arxiv.org/abs/math/9509214 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153004 | |
| dc.subject | Functional Analysis | |
| dc.subject | 42C | |
| dc.title | Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to $c_0$ | |
| dc.type | text |