Randomized isomorphic Dvoretzky theorem (Q700304)
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scientific article; zbMATH DE number 1809872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Randomized isomorphic Dvoretzky theorem |
scientific article; zbMATH DE number 1809872 |
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Randomized isomorphic Dvoretzky theorem (English)
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24 November 2002
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Let \(K\) be a symmetric convex body in \(R^N\) for which the Euclidean ball \(B_2^N\) is the minimal volume circumscribed ellipsoid. The paper gives asymptotically optimal estimates for the distance of a ``typical'' rank \(n\) projection of \(K\) to \(B_2^n\) for all \(n<N\).
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Banach spaces
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local theory
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projections
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