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

doi:10.1007/978-3-030-11614-9_7

paper

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

arXiv:1804.08941 · doi:10.1007/978-3-030-11614-9_7

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.

20 pages, accepted for a Operator Theory: Advances and Applications volume