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An elementary proof of the Grothendieck inequality


Author: Ron C. Blei
Journal: Proc. Amer. Math. Soc. 100 (1987), 58-60
MSC: Primary 26D15; Secondary 46C99
DOI: https://doi.org/10.1090/S0002-9939-1987-0883401-0
MathSciNet review: 883401
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Abstract: An elementary proof of the Grothendieck inequality is given.


References [Enhancements On Off] (What's this?)

  • [1] Ron C. Blei, A uniformity property for Λ(2) sets and Grothendieck’s inequality, Symposia Mathematica, Vol. XXII (Convegno sull’Analisi Armonica e Spazi di Funzioni su Gruppi Localmente Compatti, INDAM, Rome, 1976) Academic Press, London, 1977, pp. 321–336. MR 0487238
  • [2] A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953), 1–79 (French). MR 0094682
  • [3] J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in 𝐿_{𝑝}-spaces and their applications, Studia Math. 29 (1968), 275–326. MR 0231188, https://doi.org/10.4064/sm-29-3-275-326
  • [4] Gilles Pisier, Factorization of linear operators and geometry of Banach spaces, CBMS Regional Conference Series in Mathematics, vol. 60, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1986. MR 829919

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DOI: https://doi.org/10.1090/S0002-9939-1987-0883401-0
Article copyright: © Copyright 1987 American Mathematical Society

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