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A class of statistical and \(\sigma \)-conservative matrices. (English) Zbl 1081.40003
Summary: In E. Kolk [Proc. Est. Acad. Sci., Phys. Math. 45, 187-192 (1996; Zbl 0865.40001)] and P. Schaefer [Proc. Am. Math. Soc. 36, 104-110 (1972; Zbl 0255.40003)], statistical-conservative and \(\sigma \)-conservative matrices were characterized. In this note we have determined a class of statistical and \(\sigma \)-conservative matrices studying some inequalities which are analogous to Knopp’s core theorem.

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