A new upper bound for the complex Grothendieck constant

DOI10.1007/BF02790792zbMath0646.46019MaRDI QIDQ1103816

Uffe Haagerup

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic integralscomplex casebest constant in the Grothendieck inequalitycomplex valued standard Gaussian variablesestimation of the Taylor coefficientsnew estimate for the Grothendieck constant

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Inequalities for sums, series and integrals (26D15) Tensor products in functional analysis (46M05)

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Cites Work

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• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• A proof of the Grothendieck inequality
• Grothendieck's theorem for noncommutative \(C^*\)-algebras, with an appendix on Grothendieck's constants
• Constantes de Grothendieck et fonctions de type positif sur les sphères
• Ten-Figure Table of the Complete Elliptic Integeals K, K′, E, E′ , and a Table of 1ϑ32(0|τ)′, 1ϑ32(0|τ′)
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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