Distance types in Banach spaces (Q1819203)
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scientific article; zbMATH DE number 1385263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distance types in Banach spaces |
scientific article; zbMATH DE number 1385263 |
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Distance types in Banach spaces (English)
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3 October 2000
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A distance type on a separable Banach space \(X\) is a mapping \(X\to \mathbb{R}_+\) having the form \[ d_c(x)= \lim\text{dist}(x, C_n) \] for some nested sequence \(C= (C_n)\) of convex sets. The authors prove several results on existence or nonexistence of types of special characteristics.
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nested sequence of convex sets
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distance type
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separable Banach space
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0.9076458
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0.8957993
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0.88407737
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0.88277054
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0.88131773
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0.87729347
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