Gallardo-Gutiérrez, EA, Partington, JR orcid.org/0000-0002-6738-3216 and Seco, D (2020) On the Wandering Property in Dirichlet spaces. Integral Equations and Operator Theory, 92 (2). 16. ISSN 0378-620X
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer Nature Switzerland AG 2020. This is an author produced version of an article published in Integral Equations and Operator Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Wandering subspace property; Dirichlet spaces; Shift operators; Blaschke products; Renorming |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 24 Feb 2020 10:28 |
Last Modified: | 17 Mar 2021 01:38 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s00020-020-2573-8 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:157517 |