Strong majorization in a free \(*\)-algebra.

DOI10.1007/s00209-006-0032-0zbMath1117.47010OpenAlexW2024644007MaRDI QIDQ870636

J. William Helton, Mihai Putinar, Scott A. McCullough

Publication date: 13 March 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0032-0

zbMATH Keywords

NullstellensatzPositivstellensatzfree \(*\)-algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

Null- and positivstellensätze for rationally resolvable ideals, Quasi-convex free polynomials, On real one-sided ideals in a free algebra, A real nullstellensatz for free modules, The convex Positivstellensatz in a free algebra, Noncommutative Positivstellensätze for pairs representation-vector, Finsler's lemma for matrix polynomials, Blaschke-singular-outer factorization of free non-commutative functions, Noncommutative polynomials nonnegative on a variety intersect a convex set, Convexity and Semidefinite Programming in Dimension-Free Matrix Unknowns, On 𝑞-normal operators and the quantum complex plane

Cites Work

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• Non-negative hereditary polynomials in a free \(*\)-algebra
• On Hermitian polynomial optimization
• A Generalization of Hilbert's Nullstellensatz
• A positivstellensatz for non-commutative polynomials