The octahedron is badly approximated by random subspaces

DOI10.1007/BF01077309zbMath0619.46014OpenAlexW2064923776MaRDI QIDQ1089568

Efim D. Gluskin

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077309

zbMATH Keywords

Grassmann manifoldapproximation of convex bodiesGaussian measureoctahedronrandom subspaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items (6)

Kolmogorov width and approximate rank ⋮ Random polytopes obtained by matrices with heavy-tailed entries ⋮ Polynomial approximation on disjoint segments and amplification of approximation ⋮ Average best \(m\)-term approximation ⋮ On the size of incoherent systems ⋮ Subspaces of \(\ell^ N_ p\) of small codimension

Cites Work

• The dimension of almost spherical sections of convex bodies
• Extremal properties of half-spaces for spherically invariant measures
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
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