Hyponormal Toeplitz Operators on Weighted Bergman Spaces
Classical Analysis and ODEs
2021-08-11 v1 Functional Analysis
Abstract
We consider operators acting on a Hilbert space that can be written as the sum of a shift and a diagonal operator and determine when the operator is hyponormal. The condition is presented in terms of the norm of an explicit block Jacobi matrix. We apply this result to the Toeplitz operator with specific algebraic symbols acting on certain weighted Bergman spaces of the unit disk and determine when such operators are hyponormal.
Cite
@article{arxiv.2003.07330,
title = {Hyponormal Toeplitz Operators on Weighted Bergman Spaces},
author = {Trieu Le and Brian Simanek},
journal= {arXiv preprint arXiv:2003.07330},
year = {2021}
}
Comments
Substantial overlap with arXiv:2001.07823