Positivstellensatz and flat functionals on path *-algebras
Functional Analysis
2009-06-07 v2
Abstract
We consider the class of non-commutative *-algebras which are path algebras of doubles of quivers with the natural involutions. We study the problem of extending positive truncated functionals on such *-algebras. An analog of the solution of the truncated Hamburger moment problem by Curto and Fialkow for path *-algebras is presented and non-commutative positivstellensatz is proved. We aslo present an analog of the flat extension theorem of Curto and Fialkow for this class of algebras.
Cite
@article{arxiv.0904.0971,
title = {Positivstellensatz and flat functionals on path *-algebras},
author = {Stanislav Popovych},
journal= {arXiv preprint arXiv:0904.0971},
year = {2009}
}
Comments
corrected typos