On a 'philosophical' question about Banach envelopes
| dc.contributor.author | Albiac Alesanco, Fernando José | |
| dc.contributor.author | Ansorena, José L. | |
| dc.contributor.author | Wojtaszczyk, Przemyslaw | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2021-09-06T12:27:28Z | |
| dc.date.available | 2021-10-08T23:00:11Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We show how to construct non-locally convex quasi-Banach spaces X whose dual separates the points of a dense subspace of X but does not separate the points of X. Our examples connect with a question raised by Pietsch (Rev Mat Complut 22(1):209-226, 2009) and shed light into the unexplored class of quasi-Banach spaces with nontrivial dual which do not have sufficiently many functionals to separate the points of the space. | en |
| dc.description.sponsorship | Fernando Albiac acknowledges the support of the Spanish Ministry for Economy and Competitivity under Grant MTM2016-76808-P and the Spanish Ministry for Science and Innovation under Grant PID2019-107701GB-I00 for Operators, lattices, and structure of Banach spaces. Fernando Albiac and Jose L. Ansorena acknowledge the support of the Spanish Ministry for Science, Innovation, and Universities under Grant PGC2018-095366-B-I00 for Analisis Vectorial, Multilineal y Aproximacion. P. Wojtaszczyk was supported by National Science Centre, Poland Grant UMO-2016/21/B/ST1/00241. | en |
| dc.embargo.lift | 2021-10-08 | |
| dc.embargo.terms | 2021-10-08 | |
| dc.format.extent | 13 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1007/s13163-020-00374-8 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/40417 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer | en |
| dc.relation.ispartof | Revista Matematica Complutense (2021) 34:747–759 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-76808/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107701GB-I00/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095366-B-I00/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1007/s13163-020-00374-8 | |
| dc.rights | © Universidad Complutense de Madrid 2020 | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Quasi-Banach space | en |
| dc.subject | Banach envelope | en |
| dc.subject | Extension of operators | en |
| dc.subject | Point separation property | en |
| dc.title | On a 'philosophical' question about Banach envelopes | 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.latestForDiscovery | 3a702006-6ba1-41ba-93bf-ea9fee1de239 |