Liang, Y and Partington, JR orcid.org/0000-0002-6738-3216 (2020) Nearly invariant subspaces for operators in Hilbert spaces. Complex Analysis and Operator Theory, 15. 5. ISSN 1661-8254
Abstract
For a shift operator T with finite multiplicity acting on a separable infinite dimensional Hilbert space we represent its nearly T−1T−1 invariant subspaces in Hilbert space in terms of invariant subspaces under the backward shift. Going further, given any finite Blaschke product B, we give a description of the nearly T−1BTB−1 invariant subspaces for the operator TBTB of multiplication by B in a scale of Dirichlet-type spaces.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © Springer Nature Switzerland AG 2020. This is an author produced version of a journal article published in Complex Analysis and Operator Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Nearly invariant subspace; Shift operator; Blaschke product; Dirichlet-type space |
Dates: |
|
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: | 28 Oct 2020 12:29 |
Last Modified: | 02 Nov 2021 01:38 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s11785-020-01050-x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:167096 |