Duals of vector sequence spaces
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 \(\lim_k\frac{\lambda _{k+1}}{\lambda _{k}}=1\).
scientific article; zbMATH DE number 5786554