Volume ratios in L-p-spaces

Authors
Gordon, Y Junge, M
Citation
Y. Gordon et M. Junge, Volume ratios in L-p-spaces, STUD MATH, 136(2), 1999, pp. 147-182
Citations number
44
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
136
Issue
2
Year of publication
1999
Pages
147 - 182
Database
ISI
SICI code
0039-3223(1999)136:2<147:VRIL>2.0.ZU;2-9
Abstract
There exists an absolute constant c(0) such that for any n-dimensional Bana ch space E there exists a k-dimensional subspace F subset of E with k less than or equal to n/2 such that [GRAPHICS] The concept of volume ratio with respect to l(p)-spaces is used to prove th e following distance estimate for 2 less than or equal to q less than or eq ual to p < infinity: [GRAPHICS]