dc.contributor.author | Fernández Castillo, Jesús María | |
dc.contributor.author | Corrêa, Willian H. G. | |
dc.contributor.author | Ferenczi, Valentin | |
dc.contributor.author | González Ortiz, Manuel | |
dc.contributor.other | Universidad de Cantabria | es_ES |
dc.date.accessioned | 2024-03-18T15:56:38Z | |
dc.date.available | 2024-03-18T15:56:38Z | |
dc.date.issued | 2024 | |
dc.identifier.issn | 1422-6383 | |
dc.identifier.issn | 1420-9012 | |
dc.identifier.other | PID2019-103961 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10902/32310 | |
dc.description.abstract | We study the six diagrams generated by the first three Schechter interpolators Δ₂(f) = f´´(1/2)/2!, Δ₁(f) = f (1/2), Δ0(f) = f´(1/2) acting on the Calder´on space associated to the pair (l∞, l₁). We will study the remarkable and somehow unexpected properties of all the spaces appearing in those diagrams: two new spaces (and their duals), two Orlicz spaces (and their duals) in addition to the third order Rochberg space, the standard Kalton-Peck space Z₂ and, of course, the Hilbert space l₂. We will also deal with a nice test case: that of weighted l₂ spaces, in which case all involved spaces are Hilbert spaces. | es_ES |
dc.description.sponsorship | The research of the first and fourth authors was supported by MINCIN Project PID2019-103961, and that of the first author was also supported by Project IB20038 de la Junta de Extremadura. The research of the second and third authors was supported by São Paulo Research Foundation (FAPESP), projects 2016/25574-8 and 2021/13401-0, and that of the third author was also supported by CNPq, grant 303731/2019-2. | es_ES |
dc.format.extent | 28 p. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.source | Results in Mathematics, 2024, 79(3), 108 | es_ES |
dc.title | Interpolator symmetries and new Kalton-Peck spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherVersion | https://doi.org/10.1007/s00025-024-02128-0 | es_ES |
dc.rights.accessRights | openAccess | es_ES |
dc.identifier.DOI | 10.1007/s00025-024-02128-0 | |
dc.type.version | publishedVersion | es_ES |