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Eigenvalues of Toeplitz Operators on the Annulus and Neil Algebra

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Abstract

By working with all collection of all the Sarason Hilbert Hardy spaces for the annulus algebra an improvement to the results of Aryana and Clancey on eigenvalues of self-adjoint Toeplitz operators on an annulus is obtained. The ideas are applied to Toeplitz operators on the Neil algebra. These examples may provide a template for a general theory of Toeplitz operators with respect to an algebra.

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Authors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, USA

    Adam Broschinski

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  1. Adam Broschinski
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Correspondence to Adam Broschinski.

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Communicated by Vladimir Bolotnikov.

I thank my advisor, Scott McCullough, for his advice and patience.

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Broschinski, A. Eigenvalues of Toeplitz Operators on the Annulus and Neil Algebra. Complex Anal. Oper. Theory 8, 1037–1059 (2014). https://doi.org/10.1007/s11785-013-0331-5

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  • DOI: https://doi.org/10.1007/s11785-013-0331-5

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