Convergence of the Rademacher series in a Banach space (Q1277221)
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scientific article; zbMATH DE number 1247956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of the Rademacher series in a Banach space |
scientific article; zbMATH DE number 1247956 |
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Convergence of the Rademacher series in a Banach space (English)
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18 December 2000
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Necessary and sufficient conditions for a.s. convergence of the series \(\sum r_nTe_n\), where \(T:H\to X\) is a linear continuous map from a Hilbert space \(H\) with an orthonormal basis \(\{e_n\}\) to a Banach space \(X\) and \(\{r_n\}\) is a Rademacher series, is given. Obviously, geometric language (cotype, containing of \(c_0\), etc.) is used.
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almost sure convergence
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Banach space
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Rademacher series
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geometric language
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