An elementary proof of the Grothendieck inequality

An elementary proof of the Grothendieck inequality
HTML articles powered by AMS MathViewer

by Ron C. Blei PDF

Proc. Amer. Math. Soc. 100 (1987), 58-60 Request permission

An elementary proof of the Grothendieck inequality is given.

References

Ron C. Blei, A uniformity property for $\Lambda (2)$ 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
A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953), 1–79 (French). MR 94682
J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in $L_{p}$-spaces and their applications, Studia Math. 29 (1968), 275–326. MR 231188, DOI 10.4064/sm-29-3-275-326
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, DOI 10.1090/cbms/060