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Almost convergence and generalized weighted mean. II. (English) Zbl 1330.46011

From the introduction: “The main purpose of the present paper is to introduce the sequence spaces \(f_{0}\left( G\right) \) and \(f\left( G\right) \) derived as the domain of the generalized weighted mean in the spaces \(f_{0}\) and \(f\) of almost null and almost convergent sequences, and to determine the \(\beta\)- and \(\gamma\)-duals of these spaces. Furthermore, some classes of matrix mappings on/in the space \(f\left( G\right) \) are characterized.”
For Part I see [F. Başar and M. Kirişci, Comput. Math. Appl. 61, No. 3, 602–611 (2011; Zbl 1217.40001)].

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
40C05 Matrix methods for summability

Citations:

Zbl 1217.40001
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References:

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