Minimal-volume shadows of cubes (Q1585975)
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scientific article; zbMATH DE number 1529987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal-volume shadows of cubes |
scientific article; zbMATH DE number 1529987 |
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Minimal-volume shadows of cubes (English)
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14 November 2000
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A proof is given that for every subspace \(L\) of \(\mathbb{R}^m\), the set of minimal-volume shadows in \(L\) contains a parallelepiped. The main result is that for some subspaces there exist minimal-volume shadows that are far from parallelepipeds with respect to the Banach-Mazur distance.
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minimal-volume shadows
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parallelepiped
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parallelepipeds
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Banach-Mazur distance
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