A short proof of Dvoretzky's theorem
Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1974-1975), Exposé no. 23, 5 p.
@article{SAF_1974-1975____A22_0,
     author = {Figiel, Tadeusz},
     title = {A short proof of Dvoretzky's theorem},
     journal = {S\'eminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz")},
     note = {talk:23},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1974-1975},
     zbl = {0306.46018},
     language = {en},
     url = {http://www.numdam.org/item/SAF_1974-1975____A22_0/}
}
Figiel, T. A short proof of Dvoretzky's theorem. Séminaire d'Analyse fonctionnelle (dit "Maurey-Schwartz") (1974-1975), Exposé no. 23, 5 p. http://www.numdam.org/item/SAF_1974-1975____A22_0/

[1] Séminaire Maurey-Schwartz 1972-1973, Exposés XXVI et XXVII . | Numdam

[2] A. Dvoretzky, Some results on convex bodies in Banach spaces, Proc. Internat. Sympos. Linear Spaces, Jerusalem (1961) 123-160. | MR 139079 | Zbl 0119.31803

[3] Séminaire Maurey-Schwartz 1974-1975, Exposé XII. | Numdam

[4] Séminaire Maurey-Schwartz 1973-1974, Exposé XIX. | Numdam

[5] V.D. Milman, New proof of the theorem of A. Dvoretzky on sections of convex bodies, Funkcional Anal.i Ego Priložen, 5 (1971), 28-37. | MR 293374 | Zbl 0239.46018

[6] A. Szankowski, On Dvoretzky's theorem on almost spherical sections of convex bodies, Israel J. Math. 17 (1974), 325-338. | MR 350388 | Zbl 0288.52002