A polynomial approximation result for free Herglotz-Agler functions
Functional Analysis
2023-02-14 v2 Complex Variables
Operator Algebras
Abstract
In this paper, we prove a noncommutative (nc for short) analog of Schwarz lemma for the nc Schur-Agler class and prove that the regular nc Schur-Agler class and the regular free Herglotz class are homeomorphic. Moreover, we give a characterization of regular free Herglotz functions. As an application, we will show that any regular free Herglotz functions can uniformly be approximated by regular Herglotz free polynomials.
Cite
@article{arxiv.2203.14243,
title = {A polynomial approximation result for free Herglotz-Agler functions},
author = {Kenta Kojin},
journal= {arXiv preprint arXiv:2203.14243},
year = {2023}
}
Comments
13 pages.To appear in Canad. Math. Bull