Ellipsoids and matrix-valued valuations
type: Item
instance of: scholarly article
title: Ellipsoids and matrix-valued valuations
zbMATH Open document ID: 1033.52012
DOI: 10.1215/S0012-7094-03-11915-8
author: Monika Ludwig
published in: Duke Mathematical Journal
publication date: 2003-10-13T00:00:00Z
Mathematics Subject Classification ID: 52B45
Mathematics Subject Classification ID: 52B11
zbMATH DE Number: 1991041
zbMATH Keywords: Legendre ellipsoid
zbMATH Keywords: Lutwak-Yang-Zhang ellipsoid
zbMATH Keywords: matrix-valued valuation
zbMATH Keywords: moment matrix
zbMATH Keywords: polytopes
MaRDI profile type: Publication
cites work: Continuous rotation invariant valuations on convex sets
cites work: Description of continuous isometry covariant valuations on convex sets
cites work: On P. McMullen's conjecture on translation invariant valuations
cites work: Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture
cites work: Q4856168
cites work: Euclidean structure in finite dimensional normed spaces
cites work: Information-theoretic inequalities for contoured probability distributions
cites work: Q3245768
cites work: Star valuations and dual mixed volumes
cites work: Invariant valuations on star-shaped sets
cites work: Even valuations on convex bodies
cites work: Über einige Eindeutigkeitssätze für konvexe Körper
cites work: Q4274029
cites work: Q3434903
cites work: Valuations on polytopes containing the origin in their interiors
cites work: A characterization of affine surface area
cites work: The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
cites work: The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
cites work: On the regularity of solutions to a generalization of the Minkowski problem
cites work: \(L_ p\) affine isoperimetric inequalities.
cites work: A new ellipsoid associated with convex bodies
cites work: The Cramer-Rao inequality for star bodies
cites work: Blaschke-Santaló inequalities
cites work: Q4274023
cites work: Q3317685
cites work: Q4728828
cites work: Q4040885
cites work: Q5287551
cites work: Q4041061
description: scientific article; zbMATH DE number 1991041