Coverings by convex bodies and inscribed balls
| dc.creator | Kadets, Vladimir | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:37Z | |
| dc.date.available | 2026-07-07T05:03:37Z | |
| dc.description | Let $H$ be a Hilbert space. For a closed convex body $A$ denote by $r(A)$ the supremum of radiuses of balls, contained in $A$. We prove, that $\sum_{n=1}^\infty r(A_n) \ge r(A)$ for every covering of a convex closed body $A \subset H$ by a sequence of convex closed bodies $A_n$, $n \in \N$. It looks like this fact is new even for triangles in a 2-dimensional space. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312133 | |
| dc.identifier | http://arxiv.org/abs/math/0312133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69491 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46C05 | |
| dc.title | Coverings by convex bodies and inscribed balls | |
| dc.type | text |