On perfectly homogeneous bases in quasi-Banach spaces
| dc.contributor.author | Albiac Alesanco, Fernando José | |
| dc.contributor.author | Leránoz Istúriz, María Camino | |
| dc.contributor.department | Matemáticas | es_ES |
| dc.contributor.department | Matematika | eu |
| dc.date.accessioned | 2014-05-14T07:34:57Z | |
| dc.date.available | 2014-05-14T07:34:57Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | For 0 < p < infinity the unit vector basis of l(p) has the property of perfect homogeneity: it is equivalent to all its normalized block basic sequences, that is, perfectly homogeneous bases are a special case of symmetric bases. For Banach spaces, a classical result of Zippin (1966) proved that perfectly homogeneous bases are equivalent to either the canonical c(0)-basis or the canonical l(p)-basis for some 1 <= p < infinity. In this note, we show that (a relaxed form of) perfect homogeneity characterizes the unit vector bases of l(p) for 0 < p < 1 as well amongst bases in nonlocally convex quasi-Banach spaces. Copyright (C) 2009 F. Albiac and C. Leranoz. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1155/2009/865371 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.other | 704 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/10526 | |
| dc.language.iso | eng | en |
| dc.publisher | Hindawi Publishing Corporation | en |
| dc.relation.ispartof | Abstract and Applied Analysis, 2009. Article ID 865371, 7 pages | en |
| dc.relation.publisherversion | https://dx.doi.org/10.1155/2009/865371 | |
| dc.rights | © 2009 F. Albiac and C. Leránoz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | |
| dc.subject | Orlicz sequence spaces | en |
| dc.subject | Uniqueness | en |
| dc.subject | Mathematics | en |
| dc.title | On perfectly homogeneous bases in quasi-Banach spaces | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 3a702006-6ba1-41ba-93bf-ea9fee1de239 | |
| relation.isAuthorOfPublication | 45a22005-303f-4084-9354-8c2e483897b2 | |
| relation.isAuthorOfPublication.latestForDiscovery | 3a702006-6ba1-41ba-93bf-ea9fee1de239 |