A counterexample of the Fredholm of Toeplitz operator
Functional Analysis
2025-03-12 v1 Complex Variables
Abstract
In this paper we study the essential spectra of the Toeplitz operator on the Hardy space . We give a counterexample to show that the Toeplitz operator with symbol is not Fredholm, which gives a counterexample to the conjecture by J.A. Virtanen J A in 2006.
Cite
@article{arxiv.2503.08590,
title = {A counterexample of the Fredholm of Toeplitz operator},
author = {Hua Liu and Xinyang Zhang},
journal= {arXiv preprint arXiv:2503.08590},
year = {2025}
}