A Sparse Flat Extension Theorem for Moment Matrices
by
Monique Laurent
,
Bernard Mourrain
| Citations: | 4 - 2 self |
BibTeX
@MISC{Laurent_asparse,
author = {Monique Laurent and Bernard Mourrain},
title = {A Sparse Flat Extension Theorem for Moment Matrices},
year = {}
}
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Abstract
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.
