On convergence of the Berezin transforms
Complex Variables
2021-03-08 v2 Functional Analysis
Abstract
We prove approximation results about sequences of Berezin transforms of finite sums of finite product of Toeplitz operators (and bounded linear maps, in general) in the spirit of Ramadanov and Skwarczynski theorems that are about convergence of Bergman kernels.
Cite
@article{arxiv.2001.09448,
title = {On convergence of the Berezin transforms},
author = {Nihat Gokhan Gogus and Sonmez Sahutoglu},
journal= {arXiv preprint arXiv:2001.09448},
year = {2021}
}
Comments
minor changes and corrections. To appear in . Math. Anal. Appl