2025/03/11 by Huan Liu, Xinyang Zhang, Liu, Hua +1
Mathematics · #Holomorphic and Operator Theory #Approximation Theory and Sequence Spaces #Advanced Harmonic Analysis Research
paper · pdf · doi:10.48550/arxiv.2503.08590
In this paper we study the essential spectra of the Toeplitz operator on the Hardy space H1. 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.