Approximation of integration maps of vector measures and limit representations of Banach function spaces
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Other documents of the author: Jiménez-Fernández, Eduardo; Sánchez Pérez, Enrique A.; Werner, Dirk
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/8643
comunitat-uji-handle3:10234/8644
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Title
Approximation of integration maps of vector measures and limit representations of Banach function spacesDate
2017Publisher
Polskiej Akademii Nauk, Instytut Matematyczny; Polish Academy of Sciences, Institute of MathematicsISSN
0066-2216; 1730-6272Bibliographic citation
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. 63-81Type
info:eu-repo/semantics/articlePublisher version
Annales Polonici Mathematici, 2017, vol. 120, no 1Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
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. [-]
Investigation project
Junta de Andalucia and FEDER / P09-FQM-491; Ministerio de Economia, Industria y Competitividad (Spain) / MTM2012-36740-C02-02 / MTM2016-77054-C2-1-PRights
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