Hyperplane conjecture for quotient spaces of lp

Marius Junge

doi:10.1515/form.1994.6.617

Hyperplane conjecture for quotient spaces of l_p

Research output: Contribution to journal › Article › peer-review

Abstract

We give a positive solution for the hyperplane conjecture of quotient spaces F of L_p, 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 L_p-sections.

Original language	English (US)
Pages (from-to)	617-636
Number of pages	20
Journal	Forum Mathematicum
Volume	6
Issue number	6
DOIs	https://doi.org/10.1515/form.1994.6.617
State	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/form.1994.6.617

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Cite this

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title = "Hyperplane conjecture for quotient spaces of lp ",

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