Approximation of integration maps of vector measures and limit representations of Banach function spaces
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Otros documentos de la autoría: Jiménez-Fernández, Eduardo; Sánchez Pérez, Enrique A.; Werner, Dirk
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/8643
comunitat-uji-handle3:10234/8644
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Approximation of integration maps of vector measures and limit representations of Banach function spacesFecha de publicación
2017Editor
Polskiej Akademii Nauk, Instytut Matematyczny; Polish Academy of Sciences, Institute of MathematicsISSN
0066-2216; 1730-6272Cita bibliográfica
JIMÉNEZ FERNANDEZ, Eduardo; SÁNCHEZ PÉREZ, Enrique A.; WERNER, Dirk. Approximation of integration maps of vector measures and limit representations of Banach function spaces. Annales Polonici Mathematici, 2017, vol. 120, no 1, p. 63-81Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
Annales Polonici Mathematici, 2017, vol. 120, no 1Versión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We study whether or not the integration maps of vector measures can be computed as pointwise limits of their finite rank Radon Nikodym derivatives. The positive cases are obtained by using the circle of ideas related ... [+]
We study whether or not the integration maps of vector measures can be computed as pointwise limits of their finite rank Radon Nikodym derivatives. The positive cases are obtained by using the circle of ideas related to the approximation property for Banach spaces. The negative ones are given by means of an appropriate use of the Daugavet property. As an application, we analyse when the norm in a space L-1(m) of integrable functions can be computed as a limit of the norms of the spaces of integrable functions with respect to the Radon-Nikodym derivatives of m. [-]
Proyecto de investigación
Junta de Andalucia and FEDER / P09-FQM-491; Ministerio de Economia, Industria y Competitividad (Spain) / MTM2012-36740-C02-02 / MTM2016-77054-C2-1-PDerechos de acceso
© Polish Academy of Sciences, Institute of Mathematics
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