Title of article
Minimal-Volume Shadows of Cubes
Author/Authors
Ostrovskii، نويسنده , , M.I.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
14
From page
317
To page
330
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 set of minimal-volume shadows in L contains a parallelepiped. Our main result is that for some subspaces there exist minimal-volume shadows that are far from parallelepipeds with respect to the Banach–Mazur distance.
Keywords
minimal volume , the Banach–Mazur distance , compound matrix , totally unimodular matrix , Grothendieck theorem , Absolutely summing operator , cube , projection , directed graph , Sobolev inequality
Journal title
Journal of Functional Analysis
Serial Year
2000
Journal title
Journal of Functional Analysis
Record number
1550048
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