A uniform lower bound on the norms of hyperplane projections of spherical polytopes

DOI10.1007/s00454-023-00506-zarXiv2009.12929OpenAlexW3088612125MaRDI QIDQ6156097

Tomasz Kobos

Publication date: 12 June 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12929

zbMATH Keywords

determinantrandom polytopeminimal projectionspherical polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• On maximal relative projection constants
• The finite dimensional basis problem with an appendix on nets of Grassmann manifolds
• Three-dimensional subspace of \(l^{(5)}_\infty\) with maximal projection constant
• Spaces with large projection constants
• Norm-one projections onto subspaces of \(\ell _ p\)
• Diameter of the Minkowski compactum is approximately equal to n
• Minimal projections on hyperplanes in sequence spaces
• Norms of minimal projections
• A uniform estimate of the relative projection constant
• Computation of maximal projection constants
• Banach-Mazur distances and projections on random subgaussian polytopes
• A proof of the Grünbaum conjecture
• Local Statistics of Lattice Points on the Sphere
• Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
• Projection Constants
• Finite dimensional projection constants
• Limit theorems for random simplices in high dimensions
• Subspaces of l p,n Spaces
• Norm-one projections in Banach spaces

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