Low dimensional sections versus projections of convex bodies

DOI10.1007/BF02771778zbMath1174.52003MaRDI QIDQ2480552

Piotr Mankiewicz, Nicole Tomczak-Jaegermann

Publication date: 1 April 2008

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

zbMATH Keywords

projectionsinequalitiessectionsconvex bodies

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

On the nontrivial projection problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic formulas for the diameter of sections of symmetric convex bodies
• The finite dimensional basis problem with an appendix on nets of Grassmann manifolds
• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization
• Randomness and pattern in convex geometric analysis
• Global versus local asymptotic theories of finite-dimensional normed spaces
• Saturating constructions for normed spaces
• On the Existence and Uniqueness of Complex Structure and Spaces With "Few" Operators
• Finite-dimensional Banach spaces with symmetry constant of order √n
• Subspace mixing properties of operators in $R^n$ with applications to Gluskin spaces
• Geometry of families of random projections of symmetric convex bodies.