dc.creator | Lacruz Martín, Miguel Benito | es |
dc.creator | Romero de la Rosa, María del Pilar | es |
dc.date.accessioned | 2016-09-09T10:55:15Z | |
dc.date.available | 2016-09-09T10:55:15Z | |
dc.date.issued | 2014-01 | |
dc.identifier.citation | Lacruz Martín, M.B. y Romero de la Rosa, M.d.P. (2014). A local spectral condition for strong compactness with some applications to bilateral weighted shifts. Proceedings of the American Mathematical Society, 142 (1), 243-249. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44872 | |
dc.description.abstract | An algebra of bounded linear operators on a Banach space is said to be
strongly compact if its unit ball is precompact in the strong operator topology, and a bounded linear operator on a Banach space is said to be strongly compact if the algebra with identity generated by the operator is strongly compact. Our interest in this notion stems from the work of Lomonosov on the existence of invariant subspaces. We provide a local spectral condition that is sufficient for a bounded linear operator on a Banach space to be strongly compact. This condition is then applied to describe a large class of
strongly compact, injective bilateral weighted shifts on Hilbert spaces, extending earlier work of Fernández-Valles and the first author. Further applications are also derived, for instance, a strongly compact, invertible bilateral weighted shift is constructed in such a way that its inverse fails to be a strongly compact operator. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 142 (1), 243-249. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Strongly compact operator | es |
dc.subject | Local spectral condition | es |
dc.subject | Bilateral weighted shift | es |
dc.title | A local spectral condition for strong compactness with some applications to bilateral weighted shifts | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM 2009-08934 | es |
dc.relation.projectID | FQM-3737 | es |
dc.relation.publisherversion | http://www.ams.org/journals/proc/2014-142-01/S0002-9939-2013-11764-8/S0002-9939-2013-11764-8.pdf | es |
dc.identifier.doi | 10.1090/S0002-9939-2013-11764-8 | es |
idus.format.extent | 7 p. | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.volumen | 142 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 243 | es |
dc.publication.endPage | 249 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44872 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | Junta de Andalucía | |