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Banach Lattice Structures and Concavifications in Banach Spaces

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Banach Lattice Structures and Concavifications in Banach Spaces

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dc.contributor.author Agud Albesa, Lucia es_ES
dc.contributor.author Calabuig, J. M. es_ES
dc.contributor.author Juan, Maria Aranzazu es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2021-09-11T03:31:09Z
dc.date.available 2021-09-11T03:31:09Z
dc.date.issued 2020-01 es_ES
dc.identifier.uri http://hdl.handle.net/10251/172140
dc.description.abstract [EN] Let (Omega,sigma,mu) be a finite measure space and consider a Banach function space Y(mu). We say that a Banach space E is representable by Y(mu) if there is a continuous bijection I:Y(mu)-> E. In this case, it is possible to define an order and, consequently, a lattice structure for E in such a way that we can identify it as a Banach function space, at least regarding some local properties. General and concrete applications are shown, including the study of the notion of the pth power of a Banach space, the characterization of spaces of operators that are isomorphic to Banach lattices of multiplication operators, and the representation of certain spaces of homogeneous polynomials on Banach spaces as operators acting in function spaces. es_ES
dc.description.sponsorship The authors would like to thank the referees for their valuable comments, which helped to improve the manuscript. The work of the second author was supported by the Ministerio de Ciencia e Innovacion, Agencia Estatal del Investigacion (Spain) and FEDER under project #PGC2018-095366-B-100. The work of the fourth author was supported by the Ministerio de Ciencia e Innovacion, Agencia Estatal del Investigacion (Spain) and FEDER under project #MTM2016 77054-C2-1-P. We did not receive any funds for covering the costs of publishing in open access. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Banach function space es_ES
dc.subject Concavification es_ES
dc.subject Local theory es_ES
dc.subject Banach space es_ES
dc.subject Strongly p-integral operator es_ES
dc.subject Pth power es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Banach Lattice Structures and Concavifications in Banach Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8010127 es_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/ANALISIS VECTORIAL, MULTILINEAL Y APROXIMACION/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-77054-C2-1-P/ES/ANALISIS NO LINEAL, INTEGRACION VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACION/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Agud Albesa, L.; Calabuig, JM.; Juan, MA.; Sánchez Pérez, EA. (2020). Banach Lattice Structures and Concavifications in Banach Spaces. Mathematics. 8(1):1-20. https://doi.org/10.3390/math8010127 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8010127 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 20 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\400580 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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