The dimension of Euclidean subspaces of quasi-normed spaces

DOI10.1017/S030500410006285XzbMath0573.46005MaRDI QIDQ3692270

Stephen Dilworth

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

cotype constantsDvoretzky Theorem on the existence of ellipsoidal sectionsDvoretzky-Rogers Lemmanon-convex bodies which occur as the unit balls of quasi-normed spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Geometry and structure of normed linear spaces (46B20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

Stable recovery of low-rank matrix via nonconvex Schatten \(p\)-minimization, The cotype constant and an almost Euclidean decomposition for finite- dimensional normed spaces, The geometry of \(p\)-convex intersection bodies, Deterministic Tensor Completion with Hypergraph Expanders, On the dual form of `low \(M^{*}\) estimate' in the quasi-convex case, Isomorphic Steiner symmetrization of \(p\)-convex sets, The basic sequence problem for quasi-normed spaces, Remarks on the Central Limit Theorem for Non-convex Bodies

Cites Work

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• Geometry and probability in Banach spaces. Notes by Paul R. Chernoff
• Sous-espaces de dimension finie des espaces de Banach reticules
• The dimension of almost spherical sections of convex bodies
• On Dvoretzky's theorem on almost spherical sections of convex bodies
• Absolute and Unconditional Convergence in Normed Linear Spaces