Radon-Nikodým derivatives for vector measures belonging to Köthe function spaces
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://dx.doi.org/10.1016/j.jmaa.2008.07.024 |
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Title
Radon-Nikodým derivatives for vector measures belonging to Köthe function spacesDate
2008Publisher
ElsevierISSN
0022247XBibliographic citation
Journal of Mathematical Analysis and Applications, 348, 1, p. 469-479Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
Let m, n be a couple of vector measures with values on a Banach space. We develop a separation argument which provides a characterization of when the Radon-Nikodým derivative of n with respect to m-in the sense of the ... [+]
Let m, n be a couple of vector measures with values on a Banach space. We develop a separation argument which provides a characterization of when the Radon-Nikodým derivative of n with respect to m-in the sense of the Bartle-Dunford-Schwartz integral-exists and belongs to a particular sublattice Z (μ) of the space of integrable functions L<sup>1</sup> (m). We show that this theorem is in fact a particular feature of our separation argument, which can be applied to prove other results in both the vector measure and the function space settings. © 2008 Elsevier Inc. All rights reserved. [-]
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