On the Wandering Property in Dirichlet spaces

e-Archivo Repository

Show simple item record

dc.contributor.author Gallardo Gutiérrez, Eva A.
dc.contributor.author Partington, Jonathan R.
dc.contributor.author Seco Forsnacke, Daniel
dc.date.accessioned 2021-05-13T10:42:02Z
dc.date.available 2021-05-13T10:42:02Z
dc.date.issued 2020-04
dc.identifier.bibliographicCitation Gallardo-Gutiérrez, E. A., Partington, J. R. & Seco, D. (2020). On the Wandering Property in Dirichlet spaces. Integral Equations and Operator Theory, 92(2), 16.
dc.identifier.issn 0378-620X
dc.identifier.uri http://hdl.handle.net/10016/32622
dc.description.abstract We show that in a scale of weighted Dirichlet spaces Dα, including the Bergman space, given any finite Blaschke product B there exists an equivalent norm in Dα such that B satisfies the wandering subspace property with respect to such norm. This extends, in some sense, previous results by Carswell et al. (Indiana Univ Math J 51(4):931–961, 2002). As a particular instance, when B(z)=zk and |α|≤log(2)log(k+1), the chosen norm is the usual one in Dα.
dc.format.extent 12
dc.language.iso eng
dc.publisher Springer
dc.rights © 2020, Springer Nature Switzerland AG
dc.subject.other Blaschke products
dc.subject.other Dirichlet spaces
dc.subject.other Renorming
dc.subject.other Shift operators
dc.subject.other Wandering subspace property
dc.title On the Wandering Property in Dirichlet spaces
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1007/s00020-020-2573-8
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 1
dc.identifier.publicationissue 2
dc.identifier.publicationlastpage 12
dc.identifier.publicationtitle Integral Equations and Operator Theory
dc.identifier.publicationvolume 92
dc.identifier.uxxi AR/0000025692
dc.contributor.funder Ministerio de Economía y Competitividad (España)
 Find Full text

Files in this item

*Click on file's image for preview. (Embargoed files's preview is not supported)


This item appears in the following Collection(s)

Show simple item record