## Abstract

Let ε ∈ (0,1/2). We prove that if for some n > 1 and k > 1, a majority of k-dimensional sections of the ball in l^{n}_{∞}, is (1 + ε)-spherical then necessarily k ≤ Cε In n/ In where C is a universal constant. The bound for k: is optimal up to the choice of C.

Original language | English (US) |
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Pages (from-to) | 455-463 |

Number of pages | 9 |

Journal | Lecture Notes in Mathematics |

Volume | 2116 |

DOIs | |

State | Published - 2014 |

## All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

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