A Toeplitz-like operator with rational symbol having poles on the unit circle. II. The spectrum
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Authors
Groenewald, G.J.
Ter Horst, S.
Ran, A.C.M.
Jaftha, J.
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Publisher
Springer
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 C . Various examples illustrate the results.
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Citation
Groenewald, G.J. et al. 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.C.M. & Vinnikov, V., eds. Interpolation and realization theory with applications to control theory: 133-154). [https://doi.org/10.1007/978-3-030-11614-9_7]