Gorkin, P and Partington, JR orcid.org/0000-0002-6738-3216 (2019) Norms of Truncated Toeplitz Operators and Numerical Radii of Restricted Shifts. Computational Methods and Function Theory, 19 (3). pp. 487-508. ISSN 1617-9447
Abstract
This paper gives a new approach to the calculation of the numerical radius of a restricted shift operator by linking it to the norm of a truncated Toeplitz operator (TTO), which can be calculated by various methods. Further results on the norm of a TTO are derived, and a conjecture on the existence of continuous symbols for compact TTO is resolved.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer-Verlag GmbH Germany, part of Springer Nature 2019. This is an author produced version of an article published in Computational Methods and Function Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Restricted shift; Truncated Toeplitz operator; Numerical radius; Hankel operator; Blaschke product |
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: | 20 May 2019 10:52 |
Last Modified: | 29 Jul 2020 00:38 |
Status: | Published |
Publisher: | Springer Berlin Heidelberg |
Identification Number: | 10.1007/s40315-019-00282-z |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:146209 |