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dc.contributor.authorCalabuig, J. M.
dc.contributor.authorJiménez-Fernández, Eduardo
dc.contributor.authorJuan, M.A.
dc.contributor.authorSánchez Pérez, Enrique A.
dc.date.accessioned2016-04-14T11:37:56Z
dc.date.available2016-04-14T11:37:56Z
dc.date.issued2015-04
dc.identifier.citationCALABUIG, J. M., et al. Optimal extensions of compactness properties for operators on Banach function spaces. Topology and its Applications, 2016.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/158606
dc.description.abstractCompactness 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.extent9 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfTopology and its Applications Volume 203, April 2016ca_CA
dc.rightsCopyright © 2015 Elsevier B.V. All rights reserved.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectVector measuresca_CA
dc.subjectBanach function spaceca_CA
dc.subjectAM-compact operatorca_CA
dc.subjectDunford–Pettis operatorca_CA
dc.subjectNarrow operatorca_CA
dc.subjectOptimal domainca_CA
dc.titleOptimal extensions of compactness properties for operators on Banach function spacesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1016/j.topol.2015.12.075
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0166864115006082ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersion


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