Hyperplane conjecture for quotient spaces of $L_p$

Details Hyperplane conjecture for quotient spaces of $L_p$ Hyperplane conjecture for quotient spaces of $L_p$

1993-12-22

arxiv.org/abs/math/9312207v1

Mathematics

Functional Analysis

Scientific paper

We give a positive solution for the hyperplane conjecture of quotient spaces
F of $L_p$, where $1\pl \sup_{H \p hyperplane} vol(B_F\cap H) \pl.\] This result is extended to
Banach lattices which does not contain $\ell_1^n$'s uniformly. Our main tools
are tensor products and minimal volume ratio with respect to $L_p$-sections.

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