dc.creator | Montes Rodríguez, Alfonso | es |
dc.creator | Ponce Escudero, Manuel | es |
dc.creator | Shkarin, Stanislav A. | es |
dc.date.accessioned | 2016-11-10T10:59:34Z | |
dc.date.available | 2016-11-10T10:59:34Z | |
dc.date.issued | 2010-01 | |
dc.identifier.citation | Montes Rodríguez, A., Ponce Escudero, M. y Shkarin, S.A. (2010). Invariant subspaces of parabolic self-maps in the Hardy space. Mathematical Research Letters, 17 (1), 99-107. | |
dc.identifier.issn | 1073-2780 | es |
dc.identifier.issn | 1945-001X | es |
dc.identifier.uri | http://hdl.handle.net/11441/48424 | |
dc.description.abstract | It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach algebra consists of the closed
ideals of this algebra. As an application, with the help of some elements of
the Gelfand Theory of Banach algebras, the lattice of invariant subspaces of
composition operators acting on the Hardy space, whose inducing symbol is a parabolic non-automorphism, is found. In particular, each invariant subspace always consists of the closed span of a set of eigenfunctions. As a consequence, such composition operators have no non-trivial reducing subspaces. | es |
dc.description.sponsorship | Plan Nacional I+D+I (Ministerio de Ciencia y Tecnología) | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | International Press | es |
dc.relation.ispartof | Mathematical Research Letters, 17 (1), 99-107. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lattices of invariant subspaces | es |
dc.subject | Hardy spaces | es |
dc.subject | Composition operators | es |
dc.subject | Sobolev spaces | es |
dc.subject | Banach algebras | es |
dc.subject | Gelfand transform | es |
dc.title | Invariant subspaces of parabolic self-maps in the Hardy space | es |
dc.type | info:eu-repo/semantics/article | es |
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 | BFM2003-00034 | es |
dc.relation.projectID | FQM-260 | es |
dc.relation.publisherversion | http://intlpress.com/site/pub/files/_fulltext/journals/mrl/2010/0017/0001/MRL-2010-0017-0001-a008.pdf | es |
dc.identifier.doi | 10.4310/MRL.2010.v17.n1.a8 | es |
dc.contributor.group | Universidad de Sevilla. FQM260: Variable Compleja y Teoria de Operadores | es |
idus.format.extent | 15 p. | es |
dc.journaltitle | Mathematical Research Letters | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 99 | es |
dc.publication.endPage | 107 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48424 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |
dc.contributor.funder | Junta de Andalucía | |