Convergence of the Rademacher series in a Banach space
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.
scientific article; zbMATH DE number 1247956