Extremal problems and isotropic positions of convex bodies
type: Item
instance of: scholarly article
title: Extremal problems and isotropic positions of convex bodies
zbMATH Open document ID: 0964.52004
DOI: 10.1007/BF02773562
published in: Israel Journal of Mathematics
publication date: 2001-07-23T00:00:00Z
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A39
Mathematics Subject Classification ID: 52A40
zbMATH DE Number: 1455686
zbMATH Keywords: isotropic position
zbMATH Keywords: convex body
zbMATH Keywords: quermassintegrals
zbMATH Keywords: minimization problems
zbMATH Keywords: minimal mean width
author: Apostolos Giannopoulos
author: Vitali Milman
MaRDI profile type: Publication
cites work: Q3828510
cites work: Shadows of Convex Bodies
cites work: Volume Ratios and a Reverse Isoperimetric Inequality
cites work: Ellipsoids of maximal volume in convex bodies
cites work: On a reverse form of the Brascamp-Lieb inequality
cites work: Integral representations of quermass-integrals and Bonnesen-Style inequalities
cites work: Q3788629
cites work: The determination of convex bodies from their mean radius of curvature functions
cites work: Projections onto Hilbertian subspaces of Banach spaces
cites work: Q3796199
cites work: Q5690469
cites work: Isotropic surface area measures
cites work: Q4376704
cites work: Q5791470
cites work: Ellipsoids defined by Banach ideal norms
cites work: Q3808669
cites work: Q3742256
cites work: Q4728828
cites work: Entropy and asymptotic geometry of non-symmetric convex bodies
cites work: Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
cites work: Global versus local asymptotic theories of finite-dimensional normed spaces
cites work: Q4864322
cites work: Surface Area of a Convex Body Under Affine Transformations
cites work: Holomorphic semi-groups and the geometry of Banach spaces
cites work: Subspaces of Small Codimension of Finite-Dimensional Banach Spaces
cites work: On the Hessian of a function and the curvature of its graph
cites work: Sections of the difference body
cites work: Q5287551
cites work: Q4041061
full work available at URL: https://doi.org/10.1007/bf02773562
OpenAlex ID: W2028649632
description: scientific article; zbMATH DE number 1455686