Liang, Y and Partington, JR orcid.org/0000-0002-6738-3216 (2020) Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces. Integral Equations and Operator Theory, 92 (4). 35. ISSN 0378-620X
Abstract
It is well known the kernel of a Toeplitz operator is nearly invariant under the backward shift S∗. This paper shows that kernels of finite rank perturbations of Toeplitz operators are nearly S∗-invariant with finite defect. This enables us to apply a recent theorem by Chalendar–Gallardo–Partington to represent the kernel in terms of backward shift-invariant subspaces, which we identify in several important cases.
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: | Shift-invariant subspace; Nearly S∗-invariant; Toeplitz operator |
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: | 23 Jun 2020 09:46 |
Last Modified: | 27 Jul 2021 00:38 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s00020-020-02592-7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:162175 |