A sparse flat extension theorem for moment matrices
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.
|Keywords||Truncated moment problem, Hankel matrix, flat extension, moment matrix, polynomial optimization|
|THEME||Logistics (theme 3)|
|Publisher||Cornell University Library|
|Series||arXiv.org e-Print archive|
|Project||Semidefinite programming and combinatorial optimization|
Laurent, M, & Mourrain, B. (2008). A sparse flat extension theorem for moment matrices. arXiv.org e-Print archive. Cornell University Library .