An example of a Banach Space with a Subsymmetric Basis, which has the Hereditarily Approximation Property
| dc.creator | Tokarev, Eugene | |
| dc.date | 2002-06-11 | |
| dc.date | 2002-10-25 | |
| dc.date.accessioned | 2026-07-07T04:49:03Z | |
| dc.date.available | 2026-07-07T04:49:03Z | |
| dc.description | W.B. Johnson has constructed a series of Banach spaces non isomorphic to the Hilbert one that have the hereditarily approximation property (shortly hereditarily AP): all their subspaces also have the AP. All these examples were ''sufficiently'' non-symmetric and this fact allows Johnson to ask: whether there exists any Banach space $X$ with symmetric (or, at least, subsymmetric) basis, distinct from the Hilbert space such that each its subspace has the AP? In this paper is shown that there is a Banach space with a subsymmetric basis (non-equivalent to any symmetric one), which enjoys the hereditarily AP. | |
| dc.description | Latex2e, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0206108 | |
| dc.identifier | http://arxiv.org/abs/math/0206108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64276 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B28 (Primary) 46B07, 46B08, 46B20, 46B45 (Secondary) | |
| dc.title | An example of a Banach Space with a Subsymmetric Basis, which has the Hereditarily Approximation Property | |
| dc.type | text |