Banach-Mazur distance of central sections of a centrally symmetric convex body (Q2473592)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Banach-Mazur distance of central sections of a centrally symmetric convex body |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach-Mazur distance of central sections of a centrally symmetric convex body |
scientific article |
Statements
Banach-Mazur distance of central sections of a centrally symmetric convex body (English)
0 references
28 February 2008
0 references
Let \(B\) be a centrally symmetric convex body in \(\mathbb R^n\); i.e. the unit ball for a norm. The author shows that the Banach-Mazur distance between any two central sections of \(B\), which are both of co-dimension \(c\), is at most \((2c+1)^2\).
0 references
symmetric convex body
0 references
central section
0 references
