On some determinant and matrix inequalities with a geometrical flavour

DOI10.1090/tran/7158zbMath1390.26021arXiv1606.05208OpenAlexW2963538126MaRDI QIDQ4635492

Ting Chen

Publication date: 23 April 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05208

zbMATH Keywords

rearrangementsmatrix inequalitiessharp constantsmetric entropydeterminant inequalitiessymmetrisationoptimisers

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20)

Cites Work

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• Steiner symmetrization using a finite set of directions
• Steiner symmetrals and their distance from a ball
• On a geometric inequality related to fractional integration
• A general rearrangement inequality for multiple integrals
• On the minimal volume of simplices enclosing a convex body
• Extremizers of a Radon transform inequality
• The Brunn-Minkowski inequality
• On multilinear determinant functionals
• Convex and Discrete Geometry

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