Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590206 | Journal of Functional Analysis | 2013 | 15 Pages |
Abstract
We prove that for any symmetric n-dimensional normed space E and any ε>0, E contains a (1+ε)-Euclidean subspace of dimension at least clnn/ln(1/ε), where c is an absolute constant. The proof is based on a concentration property of order statistics of random vectors with i.i.d. coordinates.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Konstantin E. Tikhomirov,