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20082024
most citedA Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

37 citations · 139 across the 18 of their papers we have counts for

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math.FA2013★ 4 cited

Real Nullstellensatze and *-ideals in *-algebras

Jakob Cimpric, J. William Helton, Scott McCullough +1

Let F denote either the real or complex field. An ideal I in the free *-algebra F<x,x*> in g freely noncommuting variables and their formal adjoints is a *-ideal if I = I*. When a…

math.FA2012★ 25 cited

Moment problems for operator polynomials

J. Cimprič, A. Zalar

We extend Haviland's theorem on the integral representation of positive linear functionals on usual (real multivariate) polynomials to the integral representation of positive linea…

math.FA2011★ 37 cited

A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

Jaka Cimpric, Bill Helton, Scott McCullough +1

This article takes up the challenge of extending the classical Real Nullstellensatz of Dubois and Risler to left ideals in a *-algebra A. After introducing the notions of non-commu…