When random proportional subspaces are also random quotients

DOI10.1016/j.jfa.2003.10.011zbMath1088.46008OpenAlexW1971930651MaRDI QIDQ1883592

Vitali D. Milman, Alexander E. Litvak, Nicole Tomczak-Jaegermann

Publication date: 13 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.10.011

zbMATH Keywords

random subspacesEuclidean subspacesrandom quotients(outer) volume ratioEuclidean quotientsmaximal (minimal) volume ellipsoids

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)

Related Items

On the volume ratio of projections of convex bodies

Cites Work

• Distances between normed spaces, their subspaces and quotient spaces
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• Geometry of families of random projections of symmetric convex bodies.
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