Sufficient conditions for a linear operator on $\mathbb{R}[x]$ to be monotone
Complex Variables
2016-08-23 v1
Abstract
We demonstrate that being a hyperbolicity preserver does not imply monotonicity for infinite order differential operators on , thereby settling a recent conjecture in the negative. We also give some sufficient conditions for such operators to be monotone.
Keywords
Cite
@article{arxiv.1608.05756,
title = {Sufficient conditions for a linear operator on $\mathbb{R}[x]$ to be monotone},
author = {Leah Buck and Kelly Emmrich and Tamás Forgács},
journal= {arXiv preprint arXiv:1608.05756},
year = {2016}
}