Weak near convexity and smoothness of Banach spaces (Q1348960)
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scientific article; zbMATH DE number 1742828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak near convexity and smoothness of Banach spaces |
scientific article; zbMATH DE number 1742828 |
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Weak near convexity and smoothness of Banach spaces (English)
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21 May 2002
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The aim of this paper is to use the De Blasi measure of weak noncompactness instead of the Hausdorff measure of noncompactness -- which allows introduction of a class of Banach spaces wider than the class of the nearly smooth Banach spaces. It is proven that the weak near smoothness (studied here) is a property transmitted to closed subspaces. These properties are also illustrated for some classic Banach spaces.
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weak near convexity
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smoothness
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