A noncommutative version of the Fejér-Riesz theorem

DOI10.1090/S0002-9939-09-10215-0zbMath1189.47022arXiv0908.3805MaRDI QIDQ3552115

Yurii Savchuk, Konrad Schmüdgen

Publication date: 13 April 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3805

zbMATH Keywords

Toeplitz algebraunilateral shift operator\(*\)-algebraFejér-Riesz theoremnoncommutative positivstellensatz

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Trigonometric polynomials, inequalities, extremal problems (42A05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in ({}^*)-algebras (47C10)

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A real nullstellensatz for free modules ⋮ Positivstellensätze for algebras of matrices

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