A zk-invariant subspace without the wandering property

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dc.contributor.author Seco Forsnacke, Daniel
dc.date.accessioned 2021-05-14T07:29:06Z
dc.date.available 2021-05-14T07:29:06Z
dc.date.issued 2019-04-15
dc.identifier.bibliographicCitation Seco, D. (2019). A z-invariant subspace without the wandering property. Journal of Mathematical Analysis and Applications, 472(2), pp. 1377–1400.
dc.identifier.issn 0022-247X
dc.identifier.uri http://hdl.handle.net/10016/32629
dc.description.abstract We study operators of multiplication by zk in Dirichlet-type spaces Dα. We establish the existence of k and α for which some zk-invariant subspaces of Dα do not satisfy the wandering property. As a consequence of the proof, any Dirichlet-type space accepts an equivalent norm under which the wandering property fails for some space for the operator of multiplication by zk, for any k≥6.
dc.format.extent 24
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2018 Elsevier Inc.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Dirichlet spaces
dc.subject.other Wandering property
dc.subject.other Invariant subspaces
dc.subject.other Multiplication operators
dc.subject.other Shift operator
dc.subject.other Bergman spaces
dc.title A zk-invariant subspace without the wandering property
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1016/j.jmaa.2018.11.081
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2016-77710-P
dc.relation.projectID Gobierno de España. SEV-2015-0554
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 1377
dc.identifier.publicationissue 2
dc.identifier.publicationlastpage 1400
dc.identifier.publicationtitle Journal of Mathematical Analysis and Applications
dc.identifier.publicationvolume 472
dc.identifier.uxxi AR/0000026417
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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