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The interpolation proof of Grothendieck's inequality

Published online by Cambridge University Press:  20 January 2009

G.J.O Jameson
G.J.O Jameson
Affiliation:
Department of MathematicsUniversity of LancasterLancasterGreat Britain
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This note is an exposition of the simple and elegant approach to Grothendieck's inequality given in [2] and lsqb;4], with one further simplification. The process of factorizing through L2 ([2], p. 21) introduces a factor of into the final constant. We show that this step can be avoided.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 2 , June 1985 , pp. 217 - 223
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

REFERENCES

1.Haagerup, U., The best constants in the Khintchine inequality, Studia Math. 70 (1982), 231–283CrossRefGoogle Scholar
2.Krivine, J. L., Théorèmes de factorisation dans les espaces réticulès, Séminaire Maurey-Schwartz 1973-1974, exp. 22–23.Google Scholar
3.Lindenstrauss, J. and Tzafriri, L., Classical Banach Spaces I (Springer, 1977).Google Scholar
4.Pisier, G., Grothendieck's theorem for noncommutative C∗-algebras, with an appendix on Grothendieck's constants, J. Fund. Anal. 29 (1978), 397–415.CrossRefGoogle Scholar