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arXiv · 1608.05756

Sufficient conditions for a linear operator on $\mathbb{R}[x]$ to be monotone

Leah Buck·Kelly Emmrich·Tamás Forgács
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Abstract

We demonstrate that being a hyperbolicity preserver does not imply monotonicity for infinite order differential operators on $\mathbb{R}[x]$, thereby settling a recent conjecture in the negative. We also give some sufficient conditions for such operators to be monotone.

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Leah Buck, Kelly Emmrich, Tamás Forgács. 2016-08-19. Sufficient conditions for a linear operator on $\mathbb{R}[x]$ to be monotone. https://arxiv.org/abs/1608.05756

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