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 Ht2:={f∈H2:f(a)=tf(b)}, where t∈ C∪ { ∞}. We show that various spectra of certain Toeplitz operators acting on these spaces are connected.
| Original language | English |
|---|---|
| Article number | 24 |
| Journal | Integral Equations and Operator Theory |
| Volume | 94 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2022 |
Funding
The first named author was supported in part by NSF Grant DMS-1565243. Notice: This manuscript has been authored, in part, by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan ( http://energy.gov/downloads/doe-public-access-plan ).
| Funders | Funder number |
|---|---|
| National Science Foundation | DMS-1565243 |
| U.S. Department of Energy | |
| UT-Battelle | DE-AC05-00OR22725 |
Keywords
- Constrained subalgebra
- Point spectrum
- Spectrum
- Toeplitz operator