Topological characterisation of weakly compact operators
dc.contributor.author | Peralta Pereira, Antonio Miguel | |
dc.contributor.author | Villanueva Díez, Ignacio | |
dc.contributor.author | Wright, J. D. Maitland | |
dc.contributor.author | Ylinen, Kari | |
dc.date.accessioned | 2023-06-20T09:31:17Z | |
dc.date.available | 2023-06-20T09:31:17Z | |
dc.date.issued | 2007-01-15 | |
dc.description.abstract | Let X be a Banach space. Then there is a locally convex topology for X, the “Right topology,” such that a linear map T, from X into a Banach space Y, is weakly compact, precisely when T is a continuous map from X, equipped with the “Right” topology, into Y equipped with the norm topology. When T is only sequentially continuous with respect to the Right topology, it is said to be pseudo weakly compact. This notion is related to Pelczynski's Property (V). | en |
dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | I+D Madrid Ciencia y Tecnología | |
dc.description.sponsorship | Junta de Andalucía | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/14530 | |
dc.identifier.citation | Peralta Pereira, A. M., Villanueva Díez, I., Wright, J. D. M. & Ylinen, K. «Topological Characterisation of Weakly Compact Operators». Journal of Mathematical Analysis and Applications, vol. 325, n.o 2, enero de 2007, pp. 968-74. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2006.02.066. | |
dc.identifier.doi | 10.1016/j.jmaa.2006.02.066 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.officialurl | https//doi.org/10.1016/j.jmaa.2006.02.066 | |
dc.identifier.relatedurl | http://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/49796 | |
dc.issue.number | 2 | |
dc.journal.title | Journal of Mathematical Analysis and Applications | |
dc.language.iso | eng | |
dc.page.final | 974 | |
dc.page.initial | 968 | |
dc.publisher | Elsevier | |
dc.relation.projectID | MTM 2005-02541 | |
dc.relation.projectID | FQM 0199 | |
dc.relation.projectID | MTM2004-01308 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 515.1 | |
dc.subject.keyword | Weakly compact operators | |
dc.subject.keyword | Right topology | |
dc.subject.keyword | Mackey topology | |
dc.subject.ucm | Topología | |
dc.subject.unesco | 1210 Topología | |
dc.title | Topological characterisation of weakly compact operators | en |
dc.type | journal article | |
dc.volume.number | 325 | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 45785a65-66ff-415c-a422-bfdc6e3ff149 | |
relation.isAuthorOfPublication.latestForDiscovery | 45785a65-66ff-415c-a422-bfdc6e3ff149 |
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