English

A refined nc Oka-Weil theorem

Functional Analysis 2021-10-27 v2 Operator Algebras

Abstract

This short note refines nc Oka-Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorphic function can be represented as a free polynomial on each free compact nc set.

Keywords

Cite

@article{arxiv.2107.04774,
  title  = {A refined nc Oka-Weil theorem},
  author = {Kenta Kojin},
  journal= {arXiv preprint arXiv:2107.04774},
  year   = {2021}
}

Comments

6 pages. To appear in Canad. Math. Bull

R2 v1 2026-06-24T04:03:50.072Z