2019-03-20T13:23:11Zhttp://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1722712018-09-26T04:25:28Zcom_10234_8643com_10234_9col_10234_8644
00925njm 22002777a 4500
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Eduardo, Jimenez Fernandez
author
Sánchez Pérez, Enrique A.
author
Werner, Dirk
author
2017
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.
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. 63-81
0066-2216
1730-6272
http://hdl.handle.net/10234/172271
http://dx.doi.org/10.4064/ap170407-21-9
vector measures
integration map
Daugavet property
Approximation of integration maps of vector measures and limit representations of Banach function spaces