An elementary and unified proof of Grothendieck's inequality

DOI10.4171/LEM/64-3/4-6MaRDI QIDQ2327748

Lek-Heng Lim, Jinjie Zhang, Shmuel Friedland

Publication date: 15 October 2019

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10595

zbMATH Keywords

Grothendieck constantGrothendieck inequalityHaagerup boundKrivine bound

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Forms (bilinear, sesquilinear, multilinear) (47A07) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (2)

An observation on the Gram matrices of systems of uniformly bounded functions and a problem of Olevskii ⋮ Grothendieck constant is norm of Strassen matrix multiplication tensor

Cites Work

• A new upper bound for the complex Grothendieck constant
• A proof of the Grothendieck inequality
• Constantes de Grothendieck et fonctions de type positif sur les sphères
• Grothendieck constant is norm of Strassen matrix multiplication tensor
• Topics in Banach Space Theory
• An Elementary Proof of the Grothendieck Inequality
• Linear Algebra and Matrices
• Grothendieck’s Theorem, past and present
• THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
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