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
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Title:
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Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
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Author:
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Bonet Solves, José Antonio
Wright, J.D. Maitland
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[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 ...[+]
[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.
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Subjects:
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Weakly compact operators
,
Reflexive operators
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Factorization
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Reflexive Banach spaces
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(LB)-spaces
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Fréchet spaces
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Matematicki Vesnik. (issn:
0025-5165
) (eissn:
2406-0682
)
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Publisher:
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Mathematical Society of Serbia
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Publisher version:
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http://www.emis.de/journals/MV/
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
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Thanks:
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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 ...[+]
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.
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Type:
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Artículo
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