On the Growth of the Resolvent of a Toeplitz Operator

We study the growth of the resolvent of a Toeplitz operator $T_b$, defined on the Hardy space, in terms of the distance to its spectrum $\sigma(T_b)$. We are primarily interested in the case when the symbol $b$ is a Laurent polynomial (i.e.,  the matrix $T_b$ is banded). We show that for an arbitrar...

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Bibliographic Details
Date:2024
Main Authors: Golinskii, Leonid, Kupin, Stanislas, Vishnyakova, Anna
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2024
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1086
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry

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