Cristina Câmara, M and Partington, JR orcid.org/0000-0002-6738-3216 (2020) Scalar-type kernels for block Toeplitz operators. Journal of Mathematical Analysis and Applications, 489 (1). 124111. ISSN 0022-247X
Abstract
It is shown that the kernel of a Toeplitz operator with 2 x 2 symbol G can be described exactly in terms of any given function in a very wide class, its image under multiplication by G, and their left inverses, if the latter exist. As a consequence, under many circumstances the kernel of a block Toeplitz operator may be described as the product of a space of scalar complex-valued functions by a fixed column vector of functions. Such kernels are said to be of scalar type, and in this paper they are studied and described explicitly in many concrete situations. Applications are given to the determination of kernels of truncated Toeplitz operators for several new classes of symbols.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2020, Elsevier Ltd. All rights reserved. This is an author produced version of a paper published in Journal of Mathematical Analysis and Applications. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Toeplitz kernel; Model space; Truncated 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: | 17 Apr 2020 13:52 |
Last Modified: | 02 Apr 2021 00:38 |
Status: | Published |
Publisher: | Elsevier BV |
Identification Number: | 10.1016/j.jmaa.2020.124111 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:159552 |