A short proof of Dvoretzky's theorem
Séminaire Maurey-Schwartz (1974-1975), Exposé no. 23, 5 p. 
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     author = {Figiel, T.},
     title = {A short proof of {Dvoretzky's} theorem},
     journal = {S\'eminaire Maurey-Schwartz},
     note = {talk:23},
     pages = {1--5},
     year = {1974-1975},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     zbl = {0306.46018},
     language = {en},
     url = {https://www.numdam.org/item/SAF_1974-1975____A22_0/}
}
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Figiel, T. A short proof of Dvoretzky's theorem. Séminaire Maurey-Schwartz (1974-1975), Exposé no. 23, 5 p.. https://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. | Zbl | MR

[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. | Zbl | MR

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