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Generalized almost convergence and Knopp’s core theorem. (English) Zbl 0892.40005
In [J. Math. Anal. Appl. 132, No. 1, 226-233 (1988; Zbl 0648.40004)], B. Choudhary has extended the well-known Knopp core theorem. The purpose of this paper is to generalize the results due to M. Stieglitz [Math. Japonicae 18, 53-70 (1973; Zbl 0279.40003)] by using the concept of \(E_{\mathcal B}\)-convergence.

40C05 Matrix methods for summability
40J05 Summability in abstract structures
46A45 Sequence spaces (including Köthe sequence spaces)
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