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Vector Measures with Values in l(infinity)(Gamma) and Interpolation of Banach Lattices

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Vector Measures with Values in l(infinity)(Gamma) and Interpolation of Banach Lattices

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dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.contributor.author Szwedek, R. es_ES
dc.date.accessioned 2020-06-04T06:31:04Z
dc.date.available 2020-06-04T06:31:04Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0944-6532 es_ES
dc.identifier.uri http://hdl.handle.net/10251/145208
dc.description.abstract [EN] An explicit construction for the representation of the Calderón interpolation of spaces of vector measure integrable functions is given as well as for the representation of the real interpolation of these spaces using the K-functional. In order to do this, we introduce a technique based on interpolation of function valued matrices. For the real interpolation, we develop a vector-valued version of the K-functional having values in `¿-spaces, providing in this way a new procedure for the study of the interpolation of general Banach lattices. es_ES
dc.description.sponsorship Support of the Ministerio de Economía y Competitividad (Spain) under project #MTM2012-36740-C02-02 (Spain) is gratefully acknowledged. The research was also supported by National Science Center, Poland, project no.2015/17/B/ST1/00064. es_ES
dc.language Inglés es_ES
dc.publisher HELDERMANN VERLAG, LANGER GRABEN 17, LEMGO, GERMANY, 32657 es_ES
dc.relation.ispartof Journal of Convex Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Vector measures es_ES
dc.subject Integration es_ES
dc.subject Banach function space es_ES
dc.subject Interpolation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Vector Measures with Values in l(infinity)(Gamma) and Interpolation of Banach Lattices es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NCN//2015%2F17%2FB%2FST1%2F00064/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Sánchez Pérez, EA.; Szwedek, R. (2018). Vector Measures with Values in l(infinity)(Gamma) and Interpolation of Banach Lattices. Journal of Convex Analysis. 25(1):75-92. http://hdl.handle.net/10251/145208 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://www.heldermann.de/JCA/jcacon.htm es_ES
dc.description.upvformatpinicio 75 es_ES
dc.description.upvformatpfin 92 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\373854 es_ES
dc.contributor.funder National Science Centre, Polonia es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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