Câmara, MC and Partington, JR orcid.org/0000-0002-6738-3216 (2018) Toeplitz kernels and model spaces. In: The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications. International Workshop on Operator Theory and its Applications (IWOTA 2017), 14-18 Aug 2017, Chemnitz, Germany. Springer Nature , pp. 139-153. ISBN 9783319759951
Abstract
We review some classical and more recent results concerning kernels of Toeplitz operators and their relations with model spaces, which are themselves Toeplitz kernels of a special kind. We highlight the fundamental role played by the existence of maximal vectors for every nontrivial Toeplitz kernel.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer International Publishing AG, part of Springer Nature 2018. This is an author produced version of a paper published in Böttcher A., Potts D., Stollmann P., Wenzel D. (eds) The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications, vol 268. Birkhäuser, Cham. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Toeplitz kernel; model space; nearly-invariant subspace; minimal kernel; multiplier Carleson measure |
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: | 03 Jan 2018 12:47 |
Last Modified: | 28 Apr 2019 00:43 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/978-3-319-75996-8_7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:125692 |