Abstract
Using Gordon's inequalities, we give a short proof of the existence of an embedding T:l2k to l∞n such that ||T||||T-1|| ≤ c √k/ln(1+n/k). In the same way, we give a new proof of a theorem of Milman and Schechtman (1995).
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Guédon, O. Gaussian Version of a Theorem of Milman and Schechtman. Positivity 1, 1–5 (1997). https://doi.org/10.1023/A:1009759010957
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DOI: https://doi.org/10.1023/A:1009759010957