Tropical multiplier sequences
classification
🧮 math.AG
keywords
sequencelog-concaveonlyoperatorpreservestropicalcentraldefined
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We prove that the diagonal operator defined by a positive sequence preserves tropical and central indices if and only if the sequence is log-concave. In particular we obtain an elementary proof of that such an operator preserves the set of sign-independently real-rooted polynomials if and only if the sequence is log-concave.
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