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On some class of difference paranormed sequence spaces associated with multiplier sequences. (English) Zbl 1064.40002
The author studies certain paranormed sequence spaces, associated with a given multiplier sequence of complex numbers. By using notions and results of H. Nakano, H. Kizmaz, C. G. Lascarides, S. Simons, etc., certain generalizations of known theorems are deduced. The results are too involved to be stated here.

MSC:
40A05 Convergence and divergence of series and sequences
46A45 Sequence spaces (including Köthe sequence spaces)
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