dc.creator | Delgado Garrido, Olvido | es |
dc.creator | Sánchez Pérez, E. A. | es |
dc.date.accessioned | 2021-01-08T11:02:02Z | |
dc.date.available | 2021-01-08T11:02:02Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Delgado Garrido, O. y Sánchez Pérez, E.A. (2015). Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices. ArXiv.org, arXiv:1511.02337 | |
dc.identifier.uri | https://hdl.handle.net/11441/103469 | |
dc.description.abstract | Given a Banach space valued q-concave linear operator T defined on a
σ-order continuous quasi-Banach function space, we provide a description of the
optimal domain of T preserving q-concavity, that is, the largest σ-order continuous
quasi-Banach function space to which T can be extended as a q-concave operator.
We show in this way the existence of maximal extensions for q-concave operators.
As an application, we show a representation theorem for q-concave Banach lattices
through spaces of integrable functions with respect to a vector measure. This
result culminates a series of representation theorems for Banach lattices using vector
measures that have been obtained in the last twenty years. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2012-36732-C03-03 | es |
dc.description.sponsorship | Junta de Andalucía FQM-262 | es |
dc.description.sponsorship | Junta de Andalucía FQM-7276 | es |
dc.format | application/pdf | es |
dc.format.extent | 21 | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, arXiv:1511.02337 | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Banach lattices | es |
dc.subject | q-concave operators | es |
dc.subject | Quasi-Banach function spaces | es |
dc.subject | Vector measures defined on a δ-ring | es |
dc.title | Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2012-36732-C03-03 | es |
dc.relation.projectID | FQM-262 | es |
dc.relation.projectID | FQM-7276 | es |
dc.relation.publisherversion | https://arxiv.org/abs/1511.02337 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | arXiv:1511.02337 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Junta de Andalucía | es |