## Abstract

There exists an absolute constant c_{0} 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 ℓ_{p}-spaces is used to prove the following distance estimate for 2 ≤ q ≤ p < ∞: (equation presented).

Original language | English (US) |
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Pages (from-to) | 147-182 |

Number of pages | 36 |

Journal | Studia Mathematica |

Volume | 136 |

Issue number | 2 |

State | Published - 1999 |

## ASJC Scopus subject areas

- Mathematics(all)

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