Embedding subspaces of L-p into l(p)(N), 0 < p < 1

Authors
Schechtman, G Zvavitch, A
Citation
G. Schechtman et A. Zvavitch, Embedding subspaces of L-p into l(p)(N), 0 < p < 1, MATH NACHR, 227, 2001, pp. 133-142
Citations number
13
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
227
Year of publication
2001
Pages
133 - 142
Database
ISI
SICI code
0025-584X(2001)227:<133:ESOLIL>2.0.ZU;2-Z
Abstract
It is shown that if X is an n-dimensional subspace of L-p, 0 < p < 1, then there exists a subspace Y of l(p)(N) such that d(X, Y) less than or equal t o 1 + epsilon and N less than or equal to C(epsilon ,p)n(fog n)(3).