Hyperplane conjecture for quotient spaces of $L_p$
| dc.creator | Junge, Marius | |
| dc.date | 1993-12-22 | |
| dc.date.accessioned | 2026-07-07T09:15:01Z | |
| dc.date.available | 2026-07-07T09:15:01Z | |
| dc.description | We give a positive solution for the hyperplane conjecture of quotient spaces F of $L_p$, where $1<p\kll\infty$. \[ vol(B_F)^{\frac{n-1}{n}} \kl c_0 \pl p' \pl \sup_{H \p hyperplane} vol(B_F\cap H) \pl.\] 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. | |
| dc.identifier | https://arxiv.org/abs/math/9312207 | |
| dc.identifier | http://arxiv.org/abs/math/9312207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152884 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | Hyperplane conjecture for quotient spaces of $L_p$ | |
| dc.type | text |