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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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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

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Metadatos del ítem

Título: Factorization theorems for homogeneous maps on banach function spaces and approximation of compact operators
Autor: Rueda, Pilar Sánchez Pérez, Enrique Alfonso
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports
Fecha difusión:
Resumen:
[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, ...[+]
Palabras clave: Banach function space , P-th power, compact operator , Homogeneous operator
Derechos de uso: Reserva de todos los derechos
Fuente:
Mediterranean Journal of Mathematics. (issn: 1660-5446 )
DOI: 10.1007/s00009-014-0384-3
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.1007/s00009-014-0384-3
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2011-22417/ES/ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES/
info:eu-repo/grantAgreement/MINECO//MTM2012-36740-C02-02/ES/Operadores multilineales, espacios de funciones integrables y aplicaciones/
Descripción: The final publication is available at Springer via http://dx.doi.org/10.1007/s00009-014-0384-3
Agradecimientos:
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 ...[+]
Tipo: Artículo

References

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Calabuig J.M., Delgado O., Sánchez Pérez E.A.: Factorizing operators on Banach function spaces through spaces of multiplication operators. J. Math. Anal. Appl. 364, 88–103 (2010)

Defant, A.: Variants of the Maurey–Rosenthal theorem for quasi Köthe function spaces. Positivity 5, 153–175 (2001)

Delgado, O., Sánchez Pérez, E.A.: Strong factorizations between couples of operators on Banach spaces, J. Conv. Anal. 20(3), 599–616 (2013)

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