Summability in topological spaces

The main purpose of the paper is to introduce the notion of summability in abstract Hausdorff topological spaces. We give a characterization of such summability methods when the space allows a countable base. We also provide several Tauberian theorems in topological structures. Some open problems ar...

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Veröffentlicht in:	Applied mathematics letters 2011-03, Vol.24 (3), p.348-352
Hauptverfasser:	Çakalli, H., Khan, M.K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Sciences and techniques of general use Sequences Sequences, series, summability Series Summability Tauberian theorems Theorems Topological spaces Topology
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