A note on non-commutative polytopes and polyhedra

DOI10.1515/advgeom-2020-0029OpenAlexW3124000142MaRDI QIDQ2664130

Beatrix Huber, Tim Netzer

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00476

zbMATH Keywords

non-commutative polyhedronnon-commutative polytope

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets and cones of operators (47L07)

Related Items

Complex free spectrahedra, absolute extreme points, and dilations, Polytope compatibility—From quantum measurements to magic squares, Dilation theory: a guided tour, Entangleability of cones

Cites Work

• Unnamed Item
• Minimal and maximal matrix convex sets
• ``Positive noncommutative polynomials are sums of squares.
• The matricial relaxation of a linear matrix inequality
• On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
• Chapter 8: Free Convex Algebraic Geometry
• Lectures on Polytopes
• Spectrahedral Containment and Operator Systems with Finite-Dimensional Realization