The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization

DOI10.1007/BF02787120zbMath0654.46018OpenAlexW2002139129MaRDI QIDQ1108537

Jean Bourgain, Stanislaw J. Szarek

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02787120

zbMATH Keywords

Banach-Mazur distanceproportional Dvoretzky-Rogers factorization theorem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Other problems of combinatorial convexity (52A37)

Related Items

Restricted invertibility of continuous matrix functions, RESTRICTED INVERTIBILITY AND THE BANACH–MAZUR DISTANCE TO THE CUBE, On the Banach-Mazur distance between the cube and the crosspolytope, Contact points of convex bodies, Almost everywhere convergence of convolution powers, Approximations of convex bodies by measure-generated sets, A remark on geodesics in the Banach-Mazur distance, Lipschitz-free Spaces on Finite Metric Spaces, Restricted Invertibility Revisited, A proportional Dvoretzky-Rogers factorization result, On the Banach-Mazur distance to cross-polytope, Impossibility of almost extension, A solution of the finite-dimensional homogeneous Banach space problem, Low dimensional sections versus projections of convex bodies, The Banach-Mazur distance to the cube in low dimensions, John's decompositions: Selecting a large part, Banach spaces and Ramsey theory: some open problems, Operator norms of submatrices, On the nontrivial projection problem, Euclidean arrangements in Banach spaces

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