A remark on two duality relations
| dc.creator | Milman, Emanuel | |
| dc.date | 2006-03-19 | |
| dc.date | 2006-06-17 | |
| dc.date.accessioned | 2026-07-07T07:07:04Z | |
| dc.date.available | 2026-07-07T07:07:04Z | |
| dc.description | We remark that an easy combination of two known results yields a positive answer, up to log(n) terms, to a duality conjecture that goes back to Pietsch. In particular, we show that for any two symmetric convex bodies K,T in R^n, denoting by N(K,T) the minimal number of translates of T needed to cover K, one has: N(K,T) <= N(T*,(C log(n))^{-1} K*)^{C log(n) loglog(n)}, where K*,T* are the polar bodies to K,T, respectively, and C > 1 is a universal constant. As a corollary, we observe a new duality result (up to log(n) terms) for Talagrand's γ_p functionals. | |
| dc.description | 13 pages, typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0603461 | |
| dc.identifier | http://arxiv.org/abs/math/0603461 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110255 | |
| dc.subject | Functional Analysis | |
| dc.subject | Metric Geometry | |
| dc.title | A remark on two duality relations | |
| dc.type | text |