Minimal-Volume Shadows of Cubes

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 fa...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of functional analysis 2000-10, Vol.176 (2), p.317-330
1. Verfasser:	Ostrovskii, M.I.
Format:	Artikel
Sprache:	eng
Schlagworte:	absolutely summing operator compound matrix cube directed graph Grothendieck theorem minimal volume projection Sobolev inequality the Banach–Mazur distance totally unimodular matrix
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