Convergence of the Rademacher series in a Banach space
type: Item
instance of: scholarly article
title: Convergence of the Rademacher series in a Banach space
zbMATH Open document ID: 0951.60009
author: Nguyen Duy Tien
author: Ricardo Vidal Vazquez
published in: Vietnam Journal of Mathematics
publication date: 2000-12-18T00:00:00Z
review text: 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.
reviewed by: Z.G.Gorgadze
Mathematics Subject Classification ID: 60B12
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1247956
zbMATH Keywords: almost sure convergence
zbMATH Keywords: Banach space
zbMATH Keywords: Rademacher series
zbMATH Keywords: geometric language
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1247956