Positivstellenzatz and Flat Functionals on Path ∗-algebras
نویسنده
چکیده
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 [12] for path ∗-algebras is presented and non-commutative positivstellenzatz is proved. We aslo present an analog of the flat extension theorem of Curto and Fialkow for this class of algebras.
منابع مشابه
Positivstellensatz and Flat Functionals on Path ∗-algebras
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 [Fia91] for path ∗-algebras is presented and non-commutative positivstellensatz is proved. We aslo present an analog...
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تاریخ انتشار 2009