Linear maps preserving inner functions
Complex Variables
2019-02-18 v1
Abstract
We show that, for many holomorphic function spaces on the unit disk, a continuous endomorphism that sends inner functions to inner functions is necessarily a weighted composition operator.
Cite
@article{arxiv.1902.05906,
title = {Linear maps preserving inner functions},
author = {Javad Mashreghi and Thomas Ransford},
journal= {arXiv preprint arXiv:1902.05906},
year = {2019}
}