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Optimal extensions of compactness properties for operators on Banach function spaces
dc.contributor.author | Calabuig, J. M. | |
dc.contributor.author | Jiménez-Fernández, Eduardo | |
dc.contributor.author | Juan, M.A. | |
dc.contributor.author | Sánchez Pérez, Enrique A. | |
dc.date.accessioned | 2016-04-14T11:37:56Z | |
dc.date.available | 2016-04-14T11:37:56Z | |
dc.date.issued | 2015-04 | |
dc.identifier.citation | CALABUIG, J. M., et al. Optimal extensions of compactness properties for operators on Banach function spaces. Topology and its Applications, 2016. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/158606 | |
dc.description.abstract | Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact linear extension of a (weakly) compact operator if and only if its maximal continuous linear extension to its optimal domain is (weakly) compact. We show that the same happens if we consider AM-compactness for the operator, and we give some partial results regarding Dunford–Pettis operators. Narrow operators—considered as a family defined by a weak compactness type property—are also analyzed from this point of view. Finally, we provide some applications of the fact that an operator from a Banach function space extends to a narrow operator if and only if it is narrow. | ca_CA |
dc.format.extent | 9 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Topology and its Applications Volume 203, April 2016 | ca_CA |
dc.rights | Copyright © 2015 Elsevier B.V. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Vector measures | ca_CA |
dc.subject | Banach function space | ca_CA |
dc.subject | AM-compact operator | ca_CA |
dc.subject | Dunford–Pettis operator | ca_CA |
dc.subject | Narrow operator | ca_CA |
dc.subject | Optimal domain | ca_CA |
dc.title | Optimal extensions of compactness properties for operators on Banach function spaces | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.topol.2015.12.075 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0166864115006082 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion |
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