Isomorphic embedding of l(p)(n), 1 < p < 2, into l(1)((1+epsilon)n)

Authors
Naor, A Zvavitch, A
Citation
A. Naor et A. Zvavitch, Isomorphic embedding of l(p)(n), 1 < p < 2, into l(1)((1+epsilon)n), ISR J MATH, 122, 2001, pp. 371-380
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
122
Year of publication
2001
Pages
371 - 380
Database
ISI
SICI code
0021-2172(2001)122:<371:IEOL1<>2.0.ZU;2-R
Abstract
In this paper we partially answer a question posed by V. Milman and G. Sche chtman by proving that l(p)(n), (C log n)(1/p(1 + 1/epsilon))-embeds into l (1)((1 + epsilon )n), where 1 < p < 2 and 1/p + 1/q = 1.