矩矩阵的稀疏平坦扩张定理
A Sparse Flat Extension Theorem for Moment Matrices
摘要：
本文证明了Curto和Fialkow关于截断矩阵的平坦扩张定理的一个推广。它适用于由任意单项式集合及其边界索引的矩矩阵，假设该集合连接到1。当在无基设置中制定时，这给出了截断汉克尔算子的等价结果。
英文摘要：
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow for truncated moment matrices. It applies to moment matrices indexed by an arbitrary set of monomials and its border, assuming that this set is connected to 1. When formulated in a basis-free setting, this gives an equivalent result for truncated Hankel operators.
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。
