Isomorphic embedding of ℓnp, 1 < p < 2, into ℓ(1+ε)n1

Assaf Naor, Artem Zvavitch

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper we partially answer a question posed by V. Milman and G. Schechtman by proving that ℓnp, (C log n)1/q(1+1/ε)-embeds into ℓ(1+ε)n1, where 1 < p < 2 and 1/p + 1/q = 1.

Original languageEnglish (US)
Pages (from-to)371-380
Number of pages10
JournalIsrael Journal of Mathematics
Volume122
DOIs
StatePublished - 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

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