On the volume bound in the Dvoretzky-Rogers lemma

DOI10.2140/pjm.2019.301.89zbMath1434.52008arXiv1804.03444OpenAlexW3106347558WikidataQ127252731 ScholiaQ127252731MaRDI QIDQ2305327

Tamás Zarnócz, Ferenc Fodor, Márton Naszódi

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1804.03444

zbMATH Keywords

volumeJohn's theoremDvoretzky-Rogers lemmaisotropic vectorsdecomposition of identityrandom parallelotopes

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Cites Work

• On determinants and the volume of random polytopes in isotropic convex bodies
• Ellipsoids of maximal volume in convex bodies
• Automorphisms of the extended affine root system and modular property for the flat theta invariants
• An arithmetic proof of John's ellipsoid theorem
• Volume inequalities for subspaces of \(L_p\)
• Stochastic and Integral Geometry
• Convex and Discrete Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• On parallelepipeds of minimal volume containing a convex symmetric body in ℝⁿ
• Absolute and Unconditional Convergence in Normed Linear Spaces
• Proof of a conjecture of Bárány, Katchalski and Pach

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