Dual pairs of sequence spaces
type: Item
instance of: scholarly article
title: Dual pairs of sequence spaces
zbMATH Open document ID: 1007.46005
DOI: 10.1155/S0161171201011772
author: Johann Boos
author: Toivo Leiger
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-03-14T00:00:00Z
full work available at URL: https://eudml.org/doc/49830
review text: Let \(E\) be a sequence space and \(S\) be a \(K\)-space on which a sum is defined in the sense of Ruckle and let \(E^S\) be the linear space of all corresponding factor spaces. The authors define and investigate dual pairs \((E, E^S)\). In this connection, they study the SK-property which corresponds to the weak sectional convergence (SAK-property) and the so-called quasi-matrix \(A.\) They study the continuity of \( A\) and a natural topological structure of the domain \(F_A\) of \(A\), where \(F\) is a \(K\)-space. They prove some general inclusion theorems which enable them to deduce several known inclusion results in the field.
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 46A20
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 46A30
zbMATH DE Number: 1750378
zbMATH Keywords: Köthe-Toeplitz duals
zbMATH Keywords: SAK property
zbMATH Keywords: quasi-matrix maps
zbMATH Keywords: inclusion theorems
zbMATH Keywords: factor spaces
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1750378