A converse of the Gauss--Lucas theorem
classification
🧮 math.CV
keywords
mathcalconversedecreasediameterfoundgauss--lucaslinearoperators
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All linear operators $L:\mathcal{C}[z]\to \mathcal{C}[z]$ which decrease the diameter of the zero set of any $P\in\mathcal{C}[z]$ are found.
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