Partington, JR orcid.org/0000-0002-6738-3216 and Câmara, MC (2014) Near invariance and kernels of Toeplitz operators. Journal d'Analyse Mathematique, 124 (1). pp. 235-260. ISSN 0021-7670
Abstract
This paper makes a systematic study of kernels of Toeplitz operators on scalar and vector-valued H p spaces (for 1 < p < ∞). The property of near invariance of a kernel for the backward shift is analysed and shown to hold in increased generality. In the scalar case, and in some vectorial cases, the existence of a minimal kernel containing a given function is established, and a symbol for a corresponding Toeplitz operator is determined; thus, for rational symbols, its dimension can be easily calculated. It is shown that every Toeplitz kernel in H p is the minimal kernel for some function lying in it.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Toeplitz operator; Toeplitz kernel; nearly-invariant subspace; model space; inner -outer factorization; Riemann-Hilbert problem |
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 Jun 2014 12:54 |
Last Modified: | 28 Jan 2022 12:17 |
Published Version: | http://dx.doi.org/10.1007/s11854-014-0031-8 |
Status: | Published |
Publisher: | Springer Link |
Identification Number: | 10.1007/s11854-014-0031-8 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79243 |