Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\) (Q2043917)
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scientific article; zbMATH DE number 7378005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\) |
scientific article; zbMATH DE number 7378005 |
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Quantitative weakly compact sets and Banach-Saks sets in \(\ell_1\) (English)
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4 August 2021
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For the space \(\ell_1\) it is shown that the measure of weak noncompactness based on the Eberlein double limit criterion is equal to the measure of the non-Banach-Saks property defined by the arithmetic separation of sequences.
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measure of noncompactness
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Banach-Saks property
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weakly compact sets
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