Spectra for Toeplitz Operators Associated with a Constrained Subalgebra
Abstract
A two-point algebra is a set of bounded analytic functions on the unit disk that agree at two distinct points a,b ∈ D. This algebra serves as a multiplier algebra for the family of Hardy Hilbert spaces H2t := \ f∈ H2 : f(a)=tf(b)\, where t∈ C\∞\. We show that various spectra of certain Toeplitz operators acting on these spaces are connected.
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