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Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators

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Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators

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dc.contributor.author Rueda, Pilar es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2017-03-13T12:56:04Z
dc.date.available 2017-03-13T12:56:04Z
dc.date.issued 2015-02
dc.identifier.issn 1660-5446
dc.identifier.uri http://hdl.handle.net/10251/78709
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s00009-014-0384-3 es_ES
dc.description.abstract [EN] In this paper, we characterize compact linear operators from Banach function spaces to Banach spaces by means of approximations with bounded homogeneous maps. To do so, we undertake a detailed study of such maps, proving a factorization theorem and paying special attention to the equivalent strong domination property involved. Some applications to compact maximal extensions of operators are also given. es_ES
dc.description.sponsorship The authors thank the referee for his/her careful revision and suggestions. The first author gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Spain), under Project #MTM2011-22417. The second author gratefully acknowledges the support of the Ministerio de Economia y Competitividad (Spain), under Project #MTM2012-36740-c02-02.
dc.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach function space es_ES
dc.subject P-th power, compact operator es_ES
dc.subject Homogeneous operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-014-0384-3
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-22417/ES/ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports es_ES
dc.description.bibliographicCitation Rueda, P.; Sánchez Pérez, EA. (2015). Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators. Mediterranean Journal of Mathematics. 12(1):89-115. https://doi.org/10.1007/s00009-014-0384-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s00009-014-0384-3 es_ES
dc.description.upvformatpinicio 89 es_ES
dc.description.upvformatpfin 115 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 12 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 302272 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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