Randomized isomorphic Dvoretzky theorem

DOI10.1016/S1631-073X(02)02476-7zbMath1016.52002MaRDI QIDQ700304

Piotr Mankiewicz, Nicole Tomczak-Jaegermann, Alexander E. Litvak

Publication date: 24 November 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

projectionsBanach spaceslocal theory

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items

Small ball probability and Dvoretzky's Theorem, Small-ball probabilities for the volume of random convex sets, The variance of the $\ell _p^n$-norm of the Gaussian vector, and Dvoretzky’s theorem

Cites Work

• Some inequalities for Gaussian processes and applications
• Gaussian version of a theorem of Milman and Schechtman
• Global versus local asymptotic theories of finite-dimensional normed spaces
• EXTREMAL PROPERTIES OF ORTHOGONAL PARALLELEPIPEDS AND THEIR APPLICATIONS TO THE GEOMETRY OF BANACH SPACES
• John's decompositions: Selecting a large part
• Geometry of families of random projections of symmetric convex bodies.
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