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Consistency and Nörlund means

Published online by Cambridge University Press:  24 October 2008

I. J. Maddox
I. J. Maddox
Affiliation:
Queen's University of Belfast
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Extract

Let A = (ank) be an infinite matrix of complex numbers; suppose I is the unit matrix and c is the space of convergent sequences. By (A) we denote the summability field of A, i.e. (A) = {x = (xk): Ax ∈ c}.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 1 , July 1977 , pp. 107 - 109
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

(1)Hoffman, K.Banach spaces of analytic functions (New Jersey, 1962).Google Scholar
(2)Kuttner, B.On dual summability methods. Proc. Cambridge Philos. Soc. 71 (1972), 67–73.CrossRefGoogle Scholar