Centralizers of Toeplitz operators with polynomial symbols
Functional Analysis
2016-07-05 v2
Abstract
In this note we describe centralizers of Toeplitz operators with polynomial symbols on the Bergman space. As a consequence it is shown that if an element of the norm closed algebra generated by all Toeplitz operators commutes with a Toeplitz operator of a noncon- stant polynomial, then this element is a Toeplitz operator of a bounded holomorphic function.
Cite
@article{arxiv.1008.2403,
title = {Centralizers of Toeplitz operators with polynomial symbols},
author = {Akaki Tikaradze},
journal= {arXiv preprint arXiv:1008.2403},
year = {2016}
}
Comments
5 pages, all comments welcome