An entire free holomorphic function which is unbounded on the row ball
Functional Analysis
2019-08-20 v1
Abstract
We give an entire free holomorphic function which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topology developed by Agler and McCarthy but is unbounded on the set of row contractions.
Keywords
Cite
@article{arxiv.1908.06753,
title = {An entire free holomorphic function which is unbounded on the row ball},
author = {J. E. Pascoe},
journal= {arXiv preprint arXiv:1908.06753},
year = {2019}
}
Comments
2 pages. To appear