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Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces

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0 Published in 2020 at "Integral Equations and Operator Theory"

DOI: 10.1007/s00020-020-02592-7

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… read more here.

Keywords: toeplitz operators; backward shift; perturbations toeplitz; representing kernels ... See more keywords