Inner functions and operator theory
Functional Analysis
2015-03-19 v1 Complex Variables
Abstract
This tutorial paper presents a survey of results, both classical and new, linking inner functions and operator theory. Topics discussed include invariant subspaces, universal operators, Hankel and Toeplitz operators, model spaces, truncated Toeplitz operators, restricted shifts, numerical ranges, and interpolation.
Cite
@article{arxiv.1503.05461,
title = {Inner functions and operator theory},
author = {Isabelle Chalendar and Pamela Gorkin and Jonathan R. Partington},
journal= {arXiv preprint arXiv:1503.05461},
year = {2015}
}
Comments
21 pages, 4 figures. Accepted by North-Western European Journal of Mathematics