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Limit Preserving Summability of Subsequences

Published online by Cambridge University Press:  20 November 2018

Thomas A. Keagy
Thomas A. Keagy*
Affiliation:
Department of Mathematics, Wayland Baptist College, Plainview, TX 79072
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Abstract

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The purpose of this paper is to characterize those matrices A with the property that if x is a sequence with limit point σ, then there exists a subsequence y of x such that lim Ay = σ.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 2 , 01 June 1978 , pp. 173 - 176
Copyright
Copyright © Canadian Mathematical Society 1978

References

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3. Gaier, D., Limiterung gestreckter Folgen, The Publications of the Ramanujan Institute, Number 1, 1969.Google Scholar
4. Keagy, T. A., Summability of subsequences and rearrangements of sequences, to appear.Google Scholar