A note on iterates that are contractions (Q1081817)
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scientific article; zbMATH DE number 3971542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on iterates that are contractions |
scientific article; zbMATH DE number 3971542 |
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A note on iterates that are contractions (English)
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1984
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In this note it is proved: Theorem: Let T:B\(\to B\) be a continuous linear selfmap of a B-space. Then \(\| T^ N\| <1\) for some N if and only if \(\sum \| T^ n(x)\| <\infty\) for all x in B.
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contraction
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0.87037796
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