A Sparse Flat Extension Theorem for Moment Matrices
نویسندگان
چکیده
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow [4] 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.
منابع مشابه
A generalized flat extension theorem for moment matrices
In this note we prove a generalization of the flat extension theorem of Curto and Fialkow (Memoirs of the American Mathematical Society, vol. 119. American Mathematical Society, Providence, 1996) 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, ...
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عنوان ژورنال:
- CoRR
دوره abs/0812.2563 شماره
صفحات -
تاریخ انتشار 2008