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Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces

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Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Wright, J.D. Maitland es_ES
dc.date.accessioned 2015-12-11T17:59:46Z
dc.date.available 2015-12-11T17:59:46Z
dc.date.issued 2012-12
dc.identifier.issn 0025-5165
dc.identifier.uri http://hdl.handle.net/10251/58753
dc.description.abstract [EN] In this note we show that weakly compact operators from a Banach space X into a complete (LB)-space E need not factorize through a reflexive Banach space. If E is a Fréchet space, then weakly compact operators from a Banach space X into E factorize through a reflexive Banach space. The factorization of operators from a Fréchet or a complete (LB)-space into a Banach space mapping bounded sets into relatively weakly compact sets is also investigated. es_ES
dc.description.sponsorship The research of the first author was partially supported by MEC and FEDER Project MTM2010-15200 and by GV Project Prometeo/2008/101. The support of the University of Aberdeen and the Universidad Polit´ecnica of Valencia is gratefully acknowledged.
dc.language Inglés es_ES
dc.publisher Mathematical Society of Serbia es_ES
dc.relation.ispartof Matematicki Vesnik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Weakly compact operators es_ES
dc.subject Reflexive operators es_ES
dc.subject Factorization es_ES
dc.subject Reflexive Banach spaces es_ES
dc.subject (LB)-spaces es_ES
dc.subject Fréchet spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores 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 Bonet Solves, JA.; Wright, JM. (2012). Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces. Matematicki Vesnik. 64(4):330-335. http://hdl.handle.net/10251/58753 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://www.emis.de/journals/MV/ es_ES
dc.description.upvformatpinicio 330 es_ES
dc.description.upvformatpfin 335 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 64 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 235787 es_ES
dc.identifier.eissn 2406-0682
dc.contributor.funder Generalitat Valenciana
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES


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