Spectral properties for perturbations of unitary operators

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dc.contributor.authorAstaburuaga, M. A.
dc.contributor.authorCortes, V. H.
dc.date.accessioned2024-01-10T13:43:38Z
dc.date.available2024-01-10T13:43:38Z
dc.date.issued2011
dc.description.abstractConsider a unitary operator U-0 acting on a complex separable Hilbert space H. In this paper we study spectral properties for perturbations of U-0 of the type,
dc.description.abstractU-beta = U(0)e(iK beta),
dc.description.abstractwith K a compact self-adjoint operator acting on H and beta a real parameter. We apply the commutator theory developed for unitary operators in Astaburuaga et al. (2006) [1] to prove the absence of singular continuous spectrum for U-beta. Moreover, we study the eigenvalue problem for U-beta when the unperturbed operator U-0 does not have any. A typical example of this situation corresponds to the case when U-0 is purely absolutely continuous. Conditions on the eigenvalues of K are given to produce eigenvalues for U-beta for both cases finite and infinite rank of K, and we give an example where the results can be applied. (C) 2011 Elsevier Inc. All rights reserved.
dc.description.funderFondecyt
dc.fechaingreso.objetodigital17-04-2024
dc.format.extent9 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.jmaa.2011.03.067
dc.identifier.eissn1096-0813
dc.identifier.issn0022-247X
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2011.03.067
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78703
dc.identifier.wosidWOS:000290067000010
dc.information.autorucMatemática;Astaburuaga M ;S/I;99335
dc.information.autorucMatemática;Cortes V;S/I;99652
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final519
dc.pagina.inicio511
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.revistaJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.rightsacceso restringido
dc.subjectPoint spectrum
dc.subjectUnitary operators
dc.subject.ods04 Quality Education
dc.subject.odspa04 Educación y calidad
dc.titleSpectral properties for perturbations of unitary operators
dc.typeartículo
dc.volumen380
sipa.codpersvinculados99335
sipa.codpersvinculados99652
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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