dc.creator | Hernández Mancera, Carmen | es |
dc.creator | Paúl Escolano, Pedro José | es |
dc.date.accessioned | 2017-04-17T15:01:04Z | |
dc.date.available | 2017-04-17T15:01:04Z | |
dc.date.issued | 2001 | |
dc.identifier.citation | Hernández Mancera, C. y Paúl Escolano, P.J. (2001). On Pták's generalization of Hankel operators. Czechoslovak Mathematical Journal, 51 (2), 323-342. | |
dc.identifier.issn | 00114642 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57578 | |
dc.description.abstract | In 1997 Pták defined generalized Hankel operators as follows: Given two
contractions T1 ∈ B(H1) and T2 ∈ B(H2), an operator X: H1 → H2 is said to be a
generalized Hankel operator if T2X = XT
∗
1 and X satisfies a boundedness condition that
depends on the unitary parts of the minimal isometric dilations of T1 and T2. This approach,
call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it
(PV), based on the existence of a previously defined generalized Toeplitz operator. There
seemed to be a strong but somewhat hidden connection between the theories (P) and (PV)
and we clarify that connection by proving that (P) is more general than (PV), even strictly
more general for some T1 and T2, and by studying when they coincide. Then we characterize
the existence of Hankel operators, Hankel symbols and analytic Hankel symbols, solving in
this way some open problems proposed by Pták. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Czechoslovak Mathematical Journal, 51 (2), 323-342. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Toeplitz operators | es |
dc.subject | Hankel operators | es |
dc.subject | Minimal isometric dilation | es |
dc.title | On Pták's generalization of Hankel operators | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1023/A:1013746930743 | es |
dc.identifier.doi | 10.1023/A:1013746930743 | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Czechoslovak Mathematical Journal | es |
dc.publication.volumen | 51 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 323 | es |
dc.publication.endPage | 342 | es |