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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 vector spaces
46A45 Sequence spaces (including Köthe sequence spaces)
40G05 Cesàro, Euler, Nörlund and Hausdorff methods
40H05 Functional analytic methods in summability
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