dc.contributor.editor | Montes Rodríguez, Alfonso | es |
dc.creator | Bermudo Navarrete, Sergio | es |
dc.creator | Marcantognini, Stefania A. M. | es |
dc.creator | Morán, María Dolores | es |
dc.date.accessioned | 2017-06-21T10:20:06Z | |
dc.date.available | 2017-06-21T10:20:06Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Bermudo Navarrete, S., Marcantognini, S.A.M. y Morán, M.D. (2005). A parametrization for the symbols of a Hankel type operator. En First Advanced Course in Operator Theory and Complex Analysis (71-77), Sevilla: Editorial Universidad de Sevilla. | |
dc.identifier.isbn | 9788447210244 | |
dc.identifier.uri | http://hdl.handle.net/11441/61420 | |
dc.description.abstract | Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. In this more general framework, a linear operator X from a Hilbert space H1 to a Hilbert space H2 is said to be a Hankel operator for given contractions T1 on H1 and T2 on H2 if, and only if, XT ∗ 1 = T2X and X satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations V1 of T1 and V2 of T2. A Hankel symbol of X is a dilation Z of X, with a certain norm constraint, such that ZV ∗ 1 = V2Z. The boundedness condition imposed to X has revealed to be essential, indeed necessary and sufficient, for X to admit Hankel symbols. As for a description of the symbols of X, this work provides a parametric labeling of all of them by means of Schur like formula. As a by-product, a new proof of the existence of Hankel symbols is obtained. The proof is established by associating to X, T1 and T2 a suitable isometry V so that there is a bijective correspondence between the symbols of X and the family of all minimal unitary extensions of V. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Fondo Nacional de Ciencia, Tecnología e Innovación (Venezuela) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Editorial Universidad de Sevilla | es |
dc.relation.ispartof | First Advanced Course in Operator Theory and Complex Analysis (2005), pp. 71-77. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A parametrization for the symbols of a Hankel type operator | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.relation.projectID | BFM2001-3735 | es |
dc.relation.projectID | FQM-260 | es |
dc.relation.projectID | G-97000668 | es |
idus.format.extent | 7 p. | es |
dc.publication.initialPage | 71 | es |
dc.publication.endPage | 77 | es |
dc.eventtitle | First Advanced Course in Operator Theory and Complex Analysis | es |
dc.eventinstitution | Sevilla | es |
dc.relation.publicationplace | Sevilla | es |