A characterization of the \(MM^*\)-position of a convex body in terms of covariance matrices

DOI10.1007/BF02772216zbMath1059.52013OpenAlexW2065146637MaRDI QIDQ1885653

Jesús Bastero, Miguel Romance

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772216

zbMATH Keywords

dual quermassintegrals\(M M^*\)-positionextremal positions of a convex body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) General convexity (52A99)

Related Items

From John to Gauss--John positions via dual mixed volumes ⋮ Application of an idea of Voronoĭ to John type problems

Cites Work

• Projections onto Hilbertian subspaces of Banach spaces
• Extremal problems and isotropic positions of convex bodies
• Positions of convex bodies associated to extremal problems and isotropic measures
• Distances between non-symmetric convex bodies and the \(MM^*\)-estimate
• Dual mixed volumes
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