On Schatten-class perturbations of Toeplitz operators
Functional Analysis
2016-06-28 v1
Abstract
We characterize the commutant of the analytic Toeplitz operators modulo operators of Schatten-p-class on suitable multivariable domains. We show that a result of J. Xia on compact perturbations of Toeplitz operators on the unit disc remains true on strictly pseudoconvex and symmetric domains in C^n if the ideal of compact operators is replaced by the Schatten-p-classes with p strictly less than infinity.
Cite
@article{arxiv.1606.08026,
title = {On Schatten-class perturbations of Toeplitz operators},
author = {Michael Didas and Jörg Eschmeier and Dominik Schillo},
journal= {arXiv preprint arXiv:1606.08026},
year = {2016}
}