Minimal-volume shadows of cubes

Authors
Ostrovskii, MI
Citation
Mi. Ostrovskii, Minimal-volume shadows of cubes, J FUNCT ANA, 176(2), 2000, pp. 317-330
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
176
Issue
2
Year of publication
2000
Pages
317 - 330
Database
ISI
SICI code
0022-1236(20001001)176:2<317:MSOC>2.0.ZU;2-Y
Abstract
We study the shape of minimal-volume shadows of a cube in a given subspace. First we prove an essentially known result that for every subspace L the s et of minimal-volume shadows in L contains a parallelepiped. Our main resul t is that for some subspaces there exist minimal-volume shadows that are fa r from parallelepipeds with respect to the Banach-Mazur distance. (C) 2000 Academic Press.