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Matrix maps on the power-series convergent on the unit disc. (English) Zbl 0919.40004
Summary: The author characterizes a class of matrices transforming sequences \((x_n)\) with \(\sum^\infty_{n= 1} x_nz_n\) convergent for \(| z|<1\) into sequences belonging to a sequence space defined by W. L. C. Sargent [J. Lond. Math. Soc. 35, 161-171 (1960; Zbl 0090.03703)].

MSC:
40C05 Matrix methods for summability
40C15 Function-theoretic methods (including power series methods and semicontinuous methods) for summability
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