Duals of vector sequence spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1206.46006
author: T. Balasubramanian
author: A. Pandiarani
publication date: 2010-09-16T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 5786554
zbMATH Keywords: Köthe-Toeplitz duals
zbMATH Keywords: entire sequence space
zbMATH Keywords: analytic sequence space
MaRDI profile type: Publication
title: Duals of vector sequence spaces
published in: International Journal of Mathematical Analysis (Ruse)
review text: The authors describe operator valued \(\beta \)-duals of the sequence spacesNEWLINENEWLINE \(\Gamma(X):=\{(x_k) \mid \lim_k\| x_k\|^{\frac{1}{k}}=0\}\), \(\Lambda(X) :=\{( x_k) \mid \sup_k\| x_{k}^{ \frac{1}{k}}<\infty\}\) and NEWLINENEWLINE\(G_{\lambda }( X) :=\{t( x_k) \mid \sum_{k}\lambda _k^2\| x_{k}\| ^{2}<\infty\}\), where \(( X,\|\;\|)\) is a Banach space and \(\lim_k\frac{\lambda _{k+1}}{\lambda _{k}}=1\).
reviewed by: Toivo Leiger
description: scientific article; zbMATH DE number 5786554