There exists an absolute constant c0 such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k ≤ n/2 such that (equation presented). The concept of volume ratio with respect to ℓp-spaces is used to prove the following distance estimate for 2 ≤ q ≤ p < ∞: (equation presented).
|Original language||English (US)|
|Number of pages||36|
|State||Published - 1999|
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