A problem of S. Banach (Problem 106 from the ``Scottish Book'') (Q578535)
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scientific article; zbMATH DE number 4013283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A problem of S. Banach (Problem 106 from the ``Scottish Book'') |
scientific article; zbMATH DE number 4013283 |
Statements
A problem of S. Banach (Problem 106 from the ``Scottish Book'') (English)
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1986
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The author proves that in every infinite-dimensional Banach space there exists a series \(\sum x_ k\) such that the set \(\{\sum x_{\pi (k)}:\) for some permutation \(\pi\}\) is non-linear.
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conditional convergence
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