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dc.contributor.author | Sánchez Pérez, Enrique Alfonso | es_ES |
dc.date.accessioned | 2015-09-25T12:46:16Z | |
dc.date.available | 2015-09-25T12:46:16Z | |
dc.date.issued | 2014-09 | |
dc.identifier.issn | 0378-620X | |
dc.identifier.uri | http://hdl.handle.net/10251/55125 | |
dc.description.abstract | [EN] Let X Y and Z be Banach function spaces over a measure space . Consider the spaces of multiplication operators from X into the Kothe dual Y' of Y, and the spaces X (Z) and defined in the same way. In this paper we introduce the notion of factorization norm as a norm on the product space that is defined from some particular factorization scheme related to Z. In this framework, a strong factorization theorem for multiplication operators is an equality between product spaces with different factorization norms. Lozanovskii, Reisner and Maurey-Rosenthal theorems are considered in our arguments to provide examples and tools for assuring some requirements. We analyze the class of factorization norms, proving some factorization theorems for them when p-convexity/p-concavity type properties of the spaces involved are assumed. Some applications in the setting of the product spaces are given. | es_ES |
dc.description.sponsorship | The author was supported by the Ministerio de Econom´ıa y Competitividad (Spain) under grant #MTM2012-36740-C02-02. | |
dc.language | Inglés | es_ES |
dc.publisher | Springer Verlag (Germany) | es_ES |
dc.relation.ispartof | Integral Equations and Operator Theory | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Banach function spaces | es_ES |
dc.subject | Kothe dual | es_ES |
dc.subject | Generalized dual spaces | es_ES |
dc.subject | Multiplication operator | es_ES |
dc.subject | Factorizations | es_ES |
dc.subject | Product spaces | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Factorization Theorems for Multiplication Operators on Banach Function Spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s00020-014-2169- | |
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 | Abierto | 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. (2014). Factorization Theorems for Multiplication Operators on Banach Function Spaces. Integral Equations and Operator Theory. 80(1):117-135. https://doi.org/10.1007/s00020-014-2169- | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1007/s00020-014-2169-2 | es_ES |
dc.description.upvformatpinicio | 117 | es_ES |
dc.description.upvformatpfin | 135 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 80 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.senia | 279033 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad |