Circular free spectrahedra

DOI10.1016/j.jmaa.2016.07.011zbMath1351.15011arXiv1604.05756OpenAlexW2336125276MaRDI QIDQ323898

Eric Evert, Igor Klep, J. William Helton, Scott A. McCullough

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05756

zbMATH Keywords

linear matrix inequalityspectrahedronfree convexitycircular domainfree semialgebraicinvariant polynomialmatrix convex set

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Miscellaneous inequalities involving matrices (15A45) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (5)

Matrix convex sets without absolute extreme points ⋮ Reinhardt free spectrahedra ⋮ Automorphisms of hyper-Reinhardt free spectrahedra ⋮ Bianalytic free maps between spectrahedra and spectraballs ⋮ Shape, scale, and minimality of matrix ranges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets
• The convex Positivstellensatz in a free algebra
• Every convex free basic semi-algebraic set has an LMI representation
• Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
• A general framwork for a multi-operator functional calculus
• On the automorphisms of circular and Reinhardt domains in complex Banach spaces
• Interpolation and transfer-function realization for the noncommutative Schur-Agler class
• Quotients, exactness, and nuclearity in the operator system category
• The matricial relaxation of a linear matrix inequality
• Noncommutative Berezin transforms and multivariable operator model theory
• The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra
• Foundations of Free Noncommutative Function Theory
• The noncommutative Choquet boundary
• A matrix convexity approach to some celebrated quantum inequalities
• Free analysis questions II: The Grassmannian completion and the series expansions at the origin
• The Krein-Milman theorem in operator convexity
• Linear Matrix Inequalities in System and Control Theory
• Extremal Matrix States on Operator Systems
• Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps
• A positivstellensatz for non-commutative polynomials
• Semidefinite Optimization and Convex Algebraic Geometry
• Operator system quotients of matrix algebras and their tensor products
• Global Holomorphic Functions in Several Noncommuting Variables

This page was built for publication: Circular free spectrahedra