Duality, volume product and Mahler's inequalities
type: Item
instance of: scholarly article
title: Duality, volume product and Mahler's inequalities
zbMATH Open document ID: 1155.52006
author: B. E. Eshmatov
published in: Mathematische Semesterberichte
publication date: 2008-11-03T00:00:00Z
review text: This is an invitation, on an educational level, to the geometry related to an important affine invariant of convex bodies, the volume product. After an introduction to duality in real vector spaces, the proof of Kurt Mahler's sharp lower bounds for the volume product of two-dimensional convex bodies, with or without center of symmetry, is presented in a neat way. The note concludes with a discussion of results and open problems on the volume product in higher dimensions.
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 5360655
zbMATH Keywords: volume product
zbMATH Keywords: polar convex body
zbMATH Keywords: Mahler's inequality
MaRDI profile type: Publication
full work available at URL: s00591-007-0018-y
OpenAlex ID: W1996811951
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DOI: 10.1007/S00591-007-0018-Y
description: scientific article; zbMATH DE number 5360655