Distances between normed spaces, their subspaces and quotient spaces

DOI10.1007/BF01257060zbMath0588.46011MaRDI QIDQ1073296

Vitali D. Milman, Jean Bourgain

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Banach-Mazur distancecotype 2-spacelocal theory of normed spaces

Mathematics Subject Classification ID

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

Related Items

When random proportional subspaces are also random quotients, The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization, On the volume ratio of projections of convex bodies, Universal gaps for XOR games from estimates on tensor norm ratios

Cites Work

• Unnamed Item
• Unnamed Item
• The Banach-Mazur distance between symmetric spaces
• Projections onto Hilbertian subspaces of Banach spaces
• Computing 2-summing norm with few vectors
• Diameter of the Minkowski compactum is approximately equal to n
• Random factorization of operators between Banach spaces
• Iterated forcing and changing cofinalities
• Ellipsoids defined by Banach ideal norms
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)