A quantum harmonic analysis approach to the Berger-Coburn theorem
Functional Analysis
2025-08-20 v2
Abstract
We use quantum harmonic analysis for densely defined operators to provide a simplified proof of the Berger-Coburn theorem for boundedness of Toeplitz operators. In addition, we revisit compactness and Schatten-class membership of densely defined Toeplitz operators.
Cite
@article{arxiv.2410.23255,
title = {A quantum harmonic analysis approach to the Berger-Coburn theorem},
author = {Vishwa Dewage and Mishko Mitkovski},
journal= {arXiv preprint arXiv:2410.23255},
year = {2025}
}
Comments
15 pages