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

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

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Publication:6329713

DOI10.1007/S00020-020-02592-7arXiv1911.10072MaRDI QIDQ6329713

Author name not available (Why is that?)

Publication date: 22 November 2019

Abstract: It is well known that the kernel of a Toeplitz operator is nearly invariant under the backward shift S. This paper shows that kernels of finite-rank perturbations of Toeplitz operators are nearly S-invariant with finite defect. This enables us to apply a recent theorem by Chalendar--Gallardo--Partington to represent the kernel in terms of backward shift-invariant subspaces, which we identify in several important cases.





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