## Abstract

The span X_{ n} of functions x_{ i}(t)=±1, i=1, ..., n, on a set T in the supremum norm is considered. It is proved, for example, that X_{ n} contains an isometric copy of l_{ 1}^{ k} for k≧cM_{ n}^{ 2} /n log n where M_{ n} is the Rademacher average of {x_{ i}}_{ 1}^{ n} . This generalizes a result of Pisier for characters. The proof uses a new combinatorial tool.

Original language | English |
---|---|

Pages (from-to) | 129-138 |

Number of pages | 10 |

Journal | Israel Journal of Mathematics |

Volume | 43 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1982 |

## Fingerprint

Dive into the research topics of 'Some remarks about embeddings of l_{ 1}

^{ k}in finite-dimensional spaces'. Together they form a unique fingerprint.