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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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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: Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces
Author: Bonet Solves, José Antonio Wright, J.D. Maitland
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
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 ...[+]
Subjects: Weakly compact operators , Reflexive operators , Factorization , Reflexive Banach spaces , (LB)-spaces , Fréchet spaces
Copyrigths: Reserva de todos los derechos
Source:
Matematicki Vesnik. (issn: 0025-5165 ) (eissn: 2406-0682 )
Publisher:
Mathematical Society of Serbia
Publisher version: http://www.emis.de/journals/MV/
Project ID:
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/
Thanks:
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 ...[+]
Type: Artículo

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