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Radon-Nikodým derivatives for vector measures belonging to Köthe function spaces
dc.contributor.author | Calabuig, J. M. | |
dc.contributor.author | Gregori, Pablo | |
dc.contributor.author | Sánchez Pérez, Enrique A. | |
dc.date.accessioned | 2012-05-28T14:36:42Z | |
dc.date.available | 2012-05-28T14:36:42Z | |
dc.date.issued | 2008 | |
dc.identifier | http://dx.doi.org/10.1016/j.jmaa.2008.07.024 | |
dc.identifier.citation | Journal of Mathematical Analysis and Applications, 348, 1, p. 469-479 | |
dc.identifier.issn | 0022247X | |
dc.identifier.uri | http://hdl.handle.net/10234/38996 | |
dc.description.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 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. | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Köthe function spaces | |
dc.subject | Radon-Nikodým | |
dc.subject | Vector measures | |
dc.title | Radon-Nikodým derivatives for vector measures belonging to Köthe function spaces | |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2008.07.024 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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