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On strong almost convergence

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

The concept of strong almost convergence was introduced in (2), where the matrices summing every strongly almost convergent sequence, leaving the limit invariant, were characterized.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 85 , Issue 2 , March 1979 , pp. 345 - 350
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

REFERENCES

(1)Lorentz, G. G.A contribution to the theory of divergent series. Acta Math. 80 (1948), 167–190.CrossRefGoogle Scholar
(2)Maddox, I.J.Anew type of convergence. Math. Proc. Cambridge Philos.Soc. 83 (1978), 61–64.CrossRefGoogle Scholar
(3)Maddox, I. J.Elements of functional analysis (Cambridge University Press, 1970).Google Scholar
(4)Stieglitz, M. Fastkonvergenz und umfassendere durch Matrizenfolgen erklärte Konver-genzbegriffe. Habilitationsschrift (Universität Stuttgart, 1971).Google Scholar
(5)Stieglitz, M.Eine Verallgemeinerung des Begriffs der Fastkonvergenz. Math. Japonicae 18 (1973), 53–70.Google Scholar