On local non-tangential growth of the resolvent of a banded Toeplitz operator

L. Golinskii; S. Kupin

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arXiv · 2506.00584

On local non-tangential growth of the resolvent of a banded Toeplitz operator

L. Golinskii·S. Kupin

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Abstract

We study the growth of the resolvent of a Hardy--Toeplitz operator $T_b$ with a Laurent polynomial symbol (\emph{i.e., } the matrix $T_b$ is banded), at the neighborhood of a point $w_0\in\partial(\sigma(T_b))$ on the boundary of its spectrum. We show that such growth is inverse linear in some non-tangential domains at the vertex $w_0$, provided that $w_0$ does not belong to a certain finite set on the complex plane.

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BibTeX RIS

L. Golinskii, S. Kupin. 2025-05-31. On local non-tangential growth of the resolvent of a banded Toeplitz operator. https://arxiv.org/abs/2506.00584

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