On spectra of Hankel operators on the polydisc
Functional Analysis
2025-02-13 v2 Complex Variables
Abstract
We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also compute the spectrum in case the symbol is a monomial.
Cite
@article{arxiv.2207.13116,
title = {On spectra of Hankel operators on the polydisc},
author = {Zeljko Cuckovic and Zhenghui Huo and Sonmez Sahutoglu},
journal= {arXiv preprint arXiv:2207.13116},
year = {2025}
}
Comments
fixed few typos, to appear in Can. Math. Bull