ROTATING THE UNIT BALL OF L(1)(N)

Citation
P. Mankiewicz et N. Tomczakjaegermann, ROTATING THE UNIT BALL OF L(1)(N), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(2), 1998, pp. 167-172
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
07644442
Volume
327
Issue
2
Year of publication
1998
Pages
167 - 172
Database
ISI
SICI code
0764-4442(1998)327:2<167:RTUBOL>2.0.ZU;2-R
Abstract
The convex bodies generated by the union of the unit ball of l(1)(n) a nd one rotation of this ball are studied. It is shown that the Banach- Mazur distance between such bodies and the basis constant, admit a sha rp lower estimate, when rotations are chosen at random. (C) Academie d es Sciences/Elsevier, Paris.