Hyperplane conjecture for quotient spaces of lp

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We give a positive solution for the hyperplane conjecture of quotient spaces F of Lp, where 1 < p < ∞. This result is extended to Banach lattices which does not contain l1 n's uniformly. Our main tools are tensor products and minimal volume ratio with respect to Lp-sections.

Original languageEnglish (US)
Pages (from-to)617-636
Number of pages20
JournalForum Mathematicum
Issue number6
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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