Saturating constructions for normed spaces. II

DOI10.1016/j.jfa.2004.09.005zbMath1090.46008arXivmath/0407234OpenAlexW1993728303MaRDI QIDQ1779208

Nicole Tomczak-Jaegermann, Stanislaw J. Szarek

Publication date: 1 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407234

zbMATH Keywords

cotyperandom subspacesglobal propertiesdecoupling lemmasaturation phenomenonfinite-dimensional normed spacestructure of quotientsstructure of subspaceshigh dimensional convexity

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

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• A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold
• Diameter of the Minkowski compactum is approximately equal to n
• Martingale theory in harmonic analysis and Banach spaces. Proceedings of the NSF-CBMS Conference held at the Cleveland State University, Cleveland, Ohio, July 13-17, 1981
• Global versus local asymptotic theories of finite-dimensional normed spaces
• Gaussian measures of dilatations of convex symmetric sets
• Saturating constructions for normed spaces
• Almost Euclidean Quotient Spaces of Subspaces of a Finite-Dimensional Normed Space