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A Sparse Flat Extension Theorem for Moment Matrices

Monique Laurent 1 Bernard Mourrain 2
2 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (... - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : 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.
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Submitted on : Sunday, December 14, 2008 - 10:53:40 PM
Last modification on : Monday, October 12, 2020 - 10:27:38 AM
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Monique Laurent, Bernard Mourrain. A Sparse Flat Extension Theorem for Moment Matrices. Archiv der Mathematik, Springer Verlag, 2009, 93, pp.87-98. ⟨10.1007/s00013-009-0007-6⟩. ⟨inria-00347022v2⟩



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