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arXiv · 1804.08941

A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum

G. J. Groenewald·S. ter Horst·J. Jaftha·A. C. M. Ran
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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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G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran. 2018-04-24. A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum. https://doi.org/10.1007/978-3-030-11614-9_7

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