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Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem.
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- Mathematische Annalen, 2023, v. 387, n. 3/4, p. 1403, doi. 10.1007/s00208-022-02495-5
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Dimension-Free Entanglement Detection in Multipartite Werner States.
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- Communications in Mathematical Physics, 2022, v. 396, n. 3, p. 1051, doi. 10.1007/s00220-022-04485-9
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- Article
Noncommutative partially convex rational functions.
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- Revista Mathematica Iberoamericana, 2022, v. 38, n. 3, p. 731, doi. 10.4171/RMI/1304
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Sparse noncommutative polynomial optimization.
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- Mathematical Programming, 2022, v. 193, n. 2, p. 789, doi. 10.1007/s10107-020-01610-1
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- Article
Factorization of Noncommutative Polynomials and Nullstellensätze for the Free Algebra.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 1, p. 343, doi. 10.1093/imrn/rnaa122
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- Article
Noncommutative Polynomials Describing Convex Sets.
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- Foundations of Computational Mathematics, 2021, v. 21, n. 2, p. 575, doi. 10.1007/s10208-020-09465-w
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- Article
Noncommutative Partial Convexity Via Γ-Convexity.
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- Journal of Geometric Analysis, 2021, v. 31, n. 3, p. 3137, doi. 10.1007/s12220-020-00387-1
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- Article
There Are Many More Positive Maps Than Completely Positive Maps.
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- IMRN: International Mathematics Research Notices, 2019, v. 2019, n. 11, p. 3313, doi. 10.1093/imrn/rnx203
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Positive trace polynomials and the universal Procesi–Schacher conjecture.
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- Proceedings of the London Mathematical Society, 2018, v. 117, n. 6, p. 1101, doi. 10.1112/plms.12156
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- Article
Bianalytic maps between free spectrahedra.
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- Mathematische Annalen, 2018, v. 371, n. 1/2, p. 883, doi. 10.1007/s00208-017-1630-3
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- Article
Extreme Points of Matrix Convex Sets, Free Spectrahedra, and Dilation Theory.
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- Journal of Geometric Analysis, 2018, v. 28, n. 2, p. 1373, doi. 10.1007/s12220-017-9866-4
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- Article
The Real Spectrum of a Noncommutative Ring and the Artin-Lang Homomorphism Theorem.
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- Algebras & Representation Theory, 2018, v. 21, n. 1, p. 1, doi. 10.1007/s10468-017-9745-5
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- Article
The tracial Hahn--Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra.
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- Journal of the European Mathematical Society (EMS Publishing), 2017, v. 19, n. 6, p. 1845, doi. 10.4171/JEMS/707
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- Article
Regular and positive noncommutative rational functions.
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- Journal of the London Mathematical Society, 2017, v. 95, n. 2, p. 613, doi. 10.1112/jlms.12030
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- Article
Free loci of matrix pencils and domains of noncommutative rational functions.
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- Commentarii Mathematici Helvetici, 2017, v. 92, n. 1, p. 105, doi. 10.4171/CMH/408
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- Article
Constrained trace-optimization of polynomials in freely noncommuting variables.
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- Journal of Global Optimization, 2016, v. 64, n. 2, p. 325, doi. 10.1007/s10898-015-0308-1
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A tracial Nullstellensatz.
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- Bulletin of the London Mathematical Society, 2014, v. 46, n. 5, p. 1091, doi. 10.1112/blms/bdu064
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- Article
An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares.
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- Mathematics of Operations Research, 2013, v. 38, n. 3, p. 569, doi. 10.1287/moor.1120.0584
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Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials.
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- Computational Optimization & Applications, 2013, v. 55, n. 1, p. 137, doi. 10.1007/s10589-012-9513-8
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- Article
The matricial relaxation of a linear matrix inequality.
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- Mathematical Programming, 2013, v. 138, n. 1/2, p. 401, doi. 10.1007/s10107-012-0525-z
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- Article
The tracial moment problem and trace-optimization of polynomials.
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- Mathematical Programming, 2013, v. 137, n. 1/2, p. 557, doi. 10.1007/s10107-011-0505-8
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- Article
ON TIME COMPLEXITY OF SEMIDEITNITE PROGRAMS ARISING IN POLYNOMIAL OPTIMIZATION.
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- Croatian Operational Research Review, 2012, v. 3, n. 1, p. 126
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Lie Algebras with Abelian Centralizers.
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- Algebra Colloquium, 2010, v. 17, n. 4, p. 629, doi. 10.1142/S100538671000060X
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Sign patterns for chemical reaction networks.
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- Journal of Mathematical Chemistry, 2010, v. 47, n. 1, p. 403, doi. 10.1007/s10910-009-9579-4
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*-orderable semigroups.
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- Semigroup Forum, 2010, v. 80, n. 1, p. 143, doi. 10.1007/s00233-009-9183-8
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Sums of Hermitian Squares and the BMV Conjecture.
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- Journal of Statistical Physics, 2008, v. 133, n. 4, p. 739, doi. 10.1007/s10955-008-9632-x
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Embedding Ordered Valued Domains into Division Rings.
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- Algebras & Representation Theory, 2007, v. 10, n. 5, p. 429, doi. 10.1007/s10468-007-9062-5
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The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings.
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- Algebras & Representation Theory, 2007, v. 10, n. 3, p. 257, doi. 10.1007/s10468-006-9009-2
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- Article
Central Extensions of *-ordered Skew Fields.
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- Manuscripta Mathematica, 2006, v. 120, n. 4, p. 391, doi. 10.1007/s00229-006-0018-6
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