A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum
Functional Analysis
2020-02-21 v1
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 . Various examples illustrate the results.
Keywords
Cite
@article{arxiv.1804.08941,
title = {A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum},
author = {G. J. Groenewald and S. ter Horst and J. Jaftha and A. C. M. Ran},
journal= {arXiv preprint arXiv:1804.08941},
year = {2020}
}
Comments
20 pages, accepted for a Operator Theory: Advances and Applications volume