热带乘子序列
Tropical multiplier sequences
摘要：
证明了由正序列定义的对角算子保持热带和中心指标的充要条件是该序列是对数凹的。特别地，我们得到了这样的算子保持符号独立实根多项式集的初等证明当且仅当序列是对数凹的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
