Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 243-246 (2008)
Banach-Mazur Distance of Central Sections of a Centrally Symmetric Convex Body
Marek LassakInstitute of Mathematics and Physics, University of Technology
Kaliskiego 7, 85-796 Bydgoszcz, Poland, e-mail: email@example.com
Abstract: We prove that the Banach-Mazur distance between arbitrary two central sections of co-dimension $c$ of any centrally symmetric convex body in $E^n$ is at most $\big(2c+1)^2$.
Keywords: convex body, section, Banach-Mazur distance
Classification (MSC2000): 52A21, 46B20
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.