Representing kernels of perturbations of Toeplitz operators by backward shift-invariant subspaces

DOI10.1007/s00020-020-02592-7OpenAlexW3045794192MaRDI QIDQ2196521

Yu-Xia Liang, Jonathan R. Partington

Publication date: 2 September 2020

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10072

zbMATH Keywords

Toeplitz operatorshift-invariant subspacenearly \(S^*\)-invariant

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Nearly invariant subspaces for operators in Hilbert spaces ⋮ Kernels of perturbed Toeplitz operators in vector-valued Hardy spaces

Cites Work

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• A problem of Douglas and Rudin on factorization
• The kernel of a Toeplitz operator
• Invariant subspaces of \({\mathcal H}^ 2\) of an annulus
• Near invariance and kernels of Toeplitz operators
• Model spaces and Toeplitz kernels in reflexive Hardy spaces
• Introduction to Model Spaces and their Operators
• Finite-dimensional Toeplitz kernels and nearly-invariant subspaces
• A solution to the Douglas-Rudin problem for matrix-valued functions
• A Beurling Theorem for almost-invariant subspaces of the shift operator

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