Quasi-convex free polynomials
From MaRDI portal
Publication:3189564
DOI10.1090/S0002-9939-2014-11984-8zbMath1391.16028arXiv1208.3582OpenAlexW2023556890MaRDI QIDQ3189564
No author found.
Publication date: 12 September 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.3582
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Linear operator inequalities (47A63) Matrix equations and identities (15A24) Free algebras (08B20)
Related Items (5)
Noncommutative partially convex rational functions ⋮ Convex entire noncommutative functions are polynomials of degree two or less ⋮ Noncommutative partial convexity via \(\Gamma\)-convexity ⋮ Free Bertini’s theorem and applications ⋮ Toeplitz corona and the Douglas property for free functions
Cites Work
- Unnamed Item
- Non-commutative varieties with curvature having bounded signature
- Every convex free basic semi-algebraic set has an LMI representation
- Noncommutative Positivstellensätze for pairs representation-vector
- Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
- Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II
- Strong majorization in a free \(*\)-algebra.
- Schur class operator functions and automorphisms of Hardy algebras
- Sums of Hermitian squares and the BMV conjecture
- Unbounded operator algebras and representation theory.
- ``Positive noncommutative polynomials are sums of squares.
- The Hessian of a noncommutative polynomial has numerous negative eigenvalues
- A nichtnegativstellensatz for polynomials in noncommuting variables
- On the definition of a family of automata
- Structured Noncommutative Multidimensional Linear Systems
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
- Non-commutative Real Algebraic Geometry - Some Basic Concepts and First Ideas
- Non-commutative partial matrix convexity
- Convex Noncommutative Polynomials Have Degree Two or Less
- Convex Matrix Inequalities Versus Linear Matrix Inequalities
- Irreducible noncommutative defining polynomials for convex sets have degree 4 or less
- Factorization of operator-valued polynomials in several non-commuting variables
This page was built for publication: Quasi-convex free polynomials
