Functional John ellipsoids

DOI10.1016/j.jfa.2022.109441zbMath1497.52007arXiv2006.09934OpenAlexW4214907803MaRDI QIDQ2118412

Márton Naszódi, Grigory M. Ivanov

Publication date: 22 March 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09934

zbMATH Keywords

John ellipsoidHelly type theoremlogarithmically concave function

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25) Helly-type theorems and geometric transversal theory (52A35) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12) Asymptotic theory of convex bodies (52A23)

Related Items

Quantitative Helly-type theorems via sparse approximation

Cites Work

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• Quantitative Helly-Type Theorems
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• Convex and Discrete Geometry
• Alice and Bob Meet Banach
• Convex Bodies The Brunn-MinkowskiTheory
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• Absolute and Unconditional Convergence in Normed Linear Spaces
• John's theorem for an arbitrary pair of convex bodies
• John's decomposition of the identity in the non-convex case
• Proof of a conjecture of Bárány, Katchalski and Pach

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