Commutator methods for unitary operators

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dc.contributor.authorFernandez, Claudio
dc.contributor.authorRichard, Serge
dc.contributor.authorde Aldecoa, Rafael Tiedra
dc.date.accessioned2025-01-24T00:07:02Z
dc.date.available2025-01-24T00:07:02Z
dc.date.issued2013
dc.description.abstractWe present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the absence of singularly continuous spectrum and to the local finiteness of point spectrum. Large families of locally smooth operators are also exhibited. Half of the paper is dedicated to applications, and a special emphasis is put on the study of cocycles over irrational rotations. It is apparently the first time that commutator methods are applied in the context of rotation algebras, for the study of their generators.
dc.fuente.origenWOS
dc.identifier.doi10.4171/JST/45
dc.identifier.eissn1664-0403
dc.identifier.issn1664-039X
dc.identifier.urihttps://doi.org/10.4171/JST/45
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101889
dc.identifier.wosidWOS:000340039500002
dc.issue.numero3
dc.language.isoen
dc.pagina.final292
dc.pagina.inicio271
dc.revistaJournal of spectral theory
dc.rightsacceso restringido
dc.subjectUnitary operators
dc.subjectspectral analysis
dc.subjectMourre theory
dc.subjectlimiting absorption principle
dc.subjectcocycles over rotations
dc.titleCommutator methods for unitary operators
dc.typeartículo
dc.volumen3
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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