Inner vectors for Toeplitz operators
Complex Variables
2018-09-13 v1
Abstract
In this paper we survey and bring together several approaches to obtaining inner functions for Toeplitz operators. These approaches include the classical definition, the Wold decomposition, the operator-valued Poisson Integral, and Clark measures. We then extend these notions somewhat to inner functions on model spaces. Along the way we present some novel examples.
Cite
@article{arxiv.1809.04194,
title = {Inner vectors for Toeplitz operators},
author = {Raymond Cheng and Javad Mashreghi and William T. Ross},
journal= {arXiv preprint arXiv:1809.04194},
year = {2018}
}
Comments
23 pages