Brown-Halmos type characterization for the tetrablock
Functional Analysis
2025-07-02 v1
Abstract
In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero operator is the only compact Toeplitz operator.
Keywords
Cite
@article{arxiv.2507.00998,
title = {Brown-Halmos type characterization for the tetrablock},
author = {Shubham Jain and Surjit Kumar and Milan Kumar Mal and Paramita Pramanick},
journal= {arXiv preprint arXiv:2507.00998},
year = {2025}
}
Comments
11 pages, preliminary version, comments are welcome