Some points of view on Grothendieck's inequalities

DOI10.1016/J.LAA.2024.03.016MaRDI QIDQ6492427

Erik D. Christensen

Publication date: 25 April 2024

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

zbMATH Keywords

completely boundeddualityoperator spacebilinear operatorstensor productSchur productStinespring representationGrothendieck inequality

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spaces of operators; tensor products; approximation properties (46B28) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Cites Work

• Solution of the similarity problem for cyclic representations of \(C^*- algebras\)
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• A new upper bound for the complex Grothendieck constant
• Completely bounded module maps and the Haagerup tensor product
• Grothendieck's theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck's constants
• Grothendieck’s Theorem, past and present
• A Theory of Cross-Spaces. (AM-26)
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