Volume ratios in Lp-spaces

Yehoram Gordon, Marius Junge

Research output: Contribution to journalArticlepeer-review

Abstract

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 languageEnglish (US)
Pages (from-to)147-182
Number of pages36
JournalStudia Mathematica
Volume136
Issue number2
StatePublished - 1999

ASJC Scopus subject areas

  • Mathematics(all)

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