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Certain topological properties and duals of the domain of a triangle matrix in a sequence space. (English) Zbl 1152.46003
Summary: The matrix domain of the particular limitation methods Cesàro, Riesz, difference, summation and Euler were studied by several authors. In the present paper, certain topological properties and $\beta$- and $\gamma$-duals of the domain of a triangle matrix in a sequence space are examined as an application of the characterization of the related matrix classes.
##### MSC:
 46A35 Summability and bases in topological linear spaces 46A45 Sequence spaces 40G05 Cesàro, Euler, Nörlund and Hausdorff methods 40H05 Functional analytic methods in summability