Publication: Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces
dc.contributor.author | Albiac Alesanco, Fernando José | |
dc.contributor.author | Ansorena, José L. | |
dc.contributor.author | Bello, Glenier | |
dc.contributor.author | Wojtaszczyk, Przemyslaw | |
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.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
dc.date.accessioned | 2023-10-30T12:32:55Z | |
dc.date.available | 2023-10-30T12:32:55Z | |
dc.date.issued | 2023 | |
dc.date.updated | 2023-10-30T11:49:21Z | |
dc.description.abstract | We prove that the sequence spaces lp ⊕ lq and the spaces of infinite matrices lp(lq ), lq l(p) and ( ∞ n=1 n lp)lq , which are isomorphic to certain Besov spaces, have an almost greedy basis whenever 0 < p < 1 < q < ∞. More precisely, we custom-build almost greedy bases in such a way that the Lebesgue parameters grow in a prescribed manner. Our arguments critically depend on the extension of the Dilworth–Kalton– Kutzarova method from Dilworth et al. (Stud Math 159(1):67–101, 2003), which was originally designed for constructing almost greedy bases in Banach spaces, to make it valid for direct sums of mixed-normed spaces with nonlocally convex components. Additionally, we prove that the fundamental functions of all almost greedy bases of these spaces grow as (ml/q )∞ m=l. | en |
dc.description.sponsorship | Open Access funding provided by Universidad Pública de Navarra. 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. | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.citation | Albiac, F., Ansorena, J. L., Bello, G., & Wojtaszczyk, P. (2023). Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces. Constructive Approximation. https://doi.org/10.1007/s00365-023-09662-0 | en |
dc.identifier.doi | 10.1007/s00365-023-09662-0 | |
dc.identifier.issn | 0176-4276 | |
dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/46667 | |
dc.language.iso | eng | en |
dc.publisher | Springer | en |
dc.relation.ispartof | Constructive Approximation (2023), 1-31 | 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/ | en |
dc.relation.publisherversion | https://doi.org/10.1007/s00365-023-09662-0 | |
dc.rights | © 2023, The Author(s). This article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense. | en |
dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Almost greedy basis | en |
dc.subject | Conditional basis | en |
dc.subject | Quasi-greedy basis | en |
dc.subject | Subsymmetric basis | en |
dc.subject | Thresholding greedy algorithm | en |
dc.subject | lp-Spaces | en |
dc.title | Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces | en |
dc.type | Artículo / Artikulua | es |
dc.type | info:eu-repo/semantics/article | en |
dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | en |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 3a702006-6ba1-41ba-93bf-ea9fee1de239 | |
relation.isAuthorOfPublication.latestForDiscovery | 3a702006-6ba1-41ba-93bf-ea9fee1de239 |