A Sparse Flat Extension Theorem for Moment Matrices

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

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Monique Laurent, Bernard Mourrain
• Keywords: Arbitrary Set, CORR 2008, Education, Flat Extension Theorem, Truncated Moment