Gaussian Version of a Theorem of Milman and Schechtman |
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| Authors: | Guédon Olivier |
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| Institution: | (1) Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne la Vallée, 2, rue de la Butte Verte, 93166 Noisy le Grand cedex, France |
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| 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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| Keywords: | Banach space Banach-Mazur distance Euclidean subspace Gaussian processes |
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