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arXiv · 2110.06379

Spectra for Toeplitz Operators Associated with a Constrained Subalgebra

Christopher Felder·Douglas T. Pfeffer·Benjamin P. Russo
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Abstract

A two-point algebra is a set of bounded analytic functions on the unit disk that agree at two distinct points $a,b \in \mathbb{D}$. This algebra serves as a multiplier algebra for the family of Hardy Hilbert spaces $H^2_t := \{ f\in H^2 : f(a)=tf(b)\}$, where $t\in \mathbb{C}\cup\{\infty\}$. We show that various spectra of certain Toeplitz operators acting on these spaces are connected.

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Christopher Felder, Douglas T. Pfeffer, Benjamin P. Russo. 2021-10-12. Spectra for Toeplitz Operators Associated with a Constrained Subalgebra. https://arxiv.org/abs/2110.06379

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