Lovász theta type norms and operator systems

DOI10.1016/j.laa.2015.03.022zbMath1327.46053arXiv1412.7101OpenAlexW2962890363MaRDI QIDQ2341906

Carlos M. Ortiz, Vern I. Paulsen

Publication date: 6 May 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7101

zbMATH Keywords

graph theoryoperator systemLovász theta function

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Operator spaces and completely bounded maps (46L07)

Related Items

Nuclearity properties and $C^*$-envelopes of operator system inductive limits, Random quantum graphs, Connections between graphs and matrix spaces, On coproducts of operator ᵉc-systems, EMBEDDINGS AND -ENVELOPES OF EXACT OPERATOR SYSTEMS, Operator systems for tolerance relations on finite sets, OPERATOR SYSTEM NUCLEARITY VIA -ENVELOPES, Inductive limits in the operator system and related categories, A synchronous game for binary constraint systems, Sandwich theorems and capacity bounds for non-commutative graphs, Chromatic numbers, Sabidussi's theorem and Hedetniemi's conjecture for non-commutative graphs

Cites Work

• Unnamed Item
• Tensor products of operator spaces
• Bicliques and eigenvalues
• Quotients, exactness, and nuclearity in the operator system category
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Operator system structures on ordered spaces
• On the Shannon capacity of a graph
• Semidefinite Programming
• Operator system quotients of matrix algebras and their tensor products