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Constantes de Grothendieck et fonctions de type positif sur les sphères. (French) Zbl 0413.46054


MSC:

46M05 Tensor products in functional analysis
46B42 Banach lattices
46B99 Normed linear spaces and Banach spaces; Banach lattices
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References:

[1] Grothendieck, A., Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. Sao Paulo, 8, 1-79 (1956) · Zbl 0074.32303
[2] Hochstadt, H., Functions of Mathematical Physics (1971), Wiley: Wiley New York · Zbl 0217.39501
[3] Krivine, J. L., Théorèmes de factorisation dans les espaces réticulés, (Exp. XXII-XXIII, Séminaire Maurey-Schwartz (1973-1974)) · Zbl 0295.47024
[4] J. Lindenstrauss L. and Tzafriri; J. Lindenstrauss L. and Tzafriri · Zbl 0259.46011
[5] Maurey, B., Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans un espace \(L^p(Ω, μ)\), (Astérisque No. 11 (1974), Soc. Math. France) · Zbl 0262.47013
[6] Pisier, G., Grothendieck’s theorem for non-commutative \(C\)∗-algebras with an appendix on Grothendieck’s constants, J. Functional Analysis, 29, 397-415 (1978) · Zbl 0388.46043
[7] Rietz, R., A proof of the Grothendieck inequality, Israel J. Math., 19, 271-276 (1974) · Zbl 0321.46018
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