Abstract
This paper is a continuation of our study of a class of Toeplitz-like operators with a rational symbol which has a pole on the unit circle. A description of the spectrum and its various parts, i.e., point, residual and continuous spectrum, is given, as well as a description of the essential spectrum. In this case, the essential spectrum need not be connected in \(\mathbb{C}\). Various examples illustrate the results.
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Groenewald, G.J., ter Horst, S., Jaftha, J., Ran, A.C.M. (2019). A Toeplitz-like Operator with Rational Symbol Having Poles on the Unit Circle II: The Spectrum. In: Bolotnikov, V., ter Horst, S., Ran, A., Vinnikov, V. (eds) Interpolation and Realization Theory with Applications to Control Theory. Operator Theory: Advances and Applications, vol 272. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-11614-9_7
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DOI: https://doi.org/10.1007/978-3-030-11614-9_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-11613-2
Online ISBN: 978-3-030-11614-9
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