Norm attaining Arens extensions on \(\ell_1\) (Q1723842)
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scientific article; zbMATH DE number 7022151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norm attaining Arens extensions on \(\ell_1\) |
scientific article; zbMATH DE number 7022151 |
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Norm attaining Arens extensions on \(\ell_1\) (English)
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14 February 2019
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Summary: We study norm attaining properties of the Arens extensions of multilinear forms defined on Banach spaces. Among other related results, we construct a multilinear form on \(\ell_1\) with the property that only some fixed Arens extensions determined a priori attain their norms. We also study when multilinear forms can be approximated by ones with the property that only some of their Arens extensions attain their norms.
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