Elton's near unconditionality of bases as a threshold-free form of greediness
| dc.contributor.author | Albiac Alesanco, Fernando José | |
| dc.contributor.author | Ansorena, José L. | |
| dc.contributor.author | Berasategui, Miguel | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.date.accessioned | 2023-10-09T07:52:44Z | |
| dc.date.available | 2023-10-09T07:52:44Z | |
| dc.date.issued | 2023 | |
| dc.date.updated | 2023-10-09T07:43:10Z | |
| dc.description.abstract | Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas of research. One of our aims in this note is to show that, oddly enough, they are connected to the extent that they are equivalent notions. We take advantage of this new description of the former property to further the study of the threshold function associated with near unconditionality. Finally, we make a contribution to the isometric theory of greedy bases by characterizing those bases that are 1-quasi-greedy for largest coefficients. | en |
| dc.description.sponsorship | F. Albiac acknowledges the support of the Spanish Ministry for Science and Innovation under Grant PID2019-107701GB-I00 for Operators, lattices, and structure of Banach spaces. M. Berasategui acknowledges the support of the Argentina National Agency for the Promotion of Research, Technological Development and Innovation , under Grant PICT-2018-04104 . | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Albiac, F., Ansorena, J. L., & Berasategui, M. (2023). Elton’s near unconditionality of bases as a threshold-free form of greediness. Journal of Functional Analysis, 285(7), 110060. https://doi.org/10.1016/j.jfa.2023.110060 | en |
| dc.identifier.doi | 10.1016/j.jfa.2023.110060 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/46487 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Journal of Functional Analysis 285(2023) 110060 | en |
| 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.publisherversion | https://doi.org/10.1016/j.jfa.2023.110060 | |
| dc.rights | © 2023 The Author(s). This is an open access article under the CC BY license | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Nearly unconditional bases | en |
| dc.subject | Thresholding greedy algorithm | en |
| dc.title | Elton's near unconditionality of bases as a threshold-free form of greediness | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/publishedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 3a702006-6ba1-41ba-93bf-ea9fee1de239 | |
| relation.isAuthorOfPublication.latestForDiscovery | 3a702006-6ba1-41ba-93bf-ea9fee1de239 |