A generalized flat extension theorem for moment matrices

M. Laurent, B. Mourrain

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Abstract

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.
Original languageEnglish
Pages (from-to)87-98
JournalArchiv der Mathematik
Volume93
Issue number1
Publication statusPublished - 2009

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