Choudhary, B.; Mishra, S. K. On Köthe-Toeplitz duals of certain sequence spaces and their matrix transformations. (English) Zbl 0805.46008 Indian J. Pure Appl. Math. 24, No. 5, 291-301 (1993). Summary: We define the sequence spaces \(\overline{\ell(p)}\) and \(\overline\ell_ p\) and determine the Köthe-Toeplitz duals of \(\overline{\ell(p)}\). We also obtain necessary and sufficient conditions for a matrix \(A\) to map \(\overline{\ell(p)}\) to \(\ell_ \infty\) and \(\overline{\ell(p)}\) to \(c\). Cited in 20 Documents MSC: 46A45 Sequence spaces (including Köthe sequence spaces) 47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) Keywords:sequence spaces; Köthe-Toeplitz duals PDFBibTeX XMLCite \textit{B. Choudhary} and \textit{S. K. Mishra}, Indian J. Pure Appl. Math. 24, No. 5, 291--301 (1993; Zbl 0805.46008)