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

Kelly Emmrich; Leah Buck; Tam\'as Forg\'acs

arxiv: 1608.05756 · v1 · pith:SFWV6BBZnew · submitted 2016-08-19 · 🧮 math.CV

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

Leah Buck , Kelly Emmrich , Tam\'as Forg\'acs This is my paper

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keywords conditionsmathbbmonotoneoperatorssufficientconjecturedemonstratedifferential

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

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