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Some sequence spaces defined by \(|\overline{N}, p_n|\) summability. (English) Zbl 0939.46003

Summary: The object of this paper is to introduce some new sequence spaces which arise from the notion of \(|\overline N,p_n|\) summability. Some topological results, certain inclusion relations and a result on matrix transformations are discussed.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
40H05 Functional analytic methods in summability
46A50 Compactness in topological linear spaces; angelic spaces, etc.
46A35 Summability and bases in topological vector spaces
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