Multidimensional extensions of the Grothendieck inequality and applications
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Publication:1152546
DOI10.1007/BF02385457zbMath0461.43005MaRDI QIDQ1152546
Publication date: 1979
Published in: Arkiv för Matematik (Search for Journal in Brave)
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Inner product spaces and their generalizations, Hilbert spaces (46C99)
Related Items (13)
Grothendieck-Type Inequalities in Combinatorial Optimization ⋮ Hahn-Banach extension of multilinear forms and summability ⋮ Central limit theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs ⋮ Some remarks on the algebra of bounded Dirichlet series ⋮ All Schatten spaces endowed with the Schur product are \(Q\)-algebras ⋮ Grothendieck’s Theorem, past and present ⋮ Fractional tensor products and P \& M maps ⋮ Random constructions in Bell inequalities: a survey ⋮ \({\Lambda}(p)\)-spaces ⋮ Asymptotic estimates on the von Neumann inequality for homogeneous polynomials ⋮ Fractional cartesian products of sets ⋮ Unbounded violation of tripartite Bell inequalities ⋮ The Grothendieck Inequality Revisited
Cites Work
- Sidon partitions and p-Sidon sets
- On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
- On Fourier Stieltjes Transforms of Discrete measures.
- The Von Neumann Inequality for Polynomials of Degree Greater Than Two
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications
- Quotient Algebras of Uniform Algebras
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