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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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2. Dawson, D. F., Summability of subsequences and stretchings of sequences, Pacific J. of Math., 44 (1973), 455-460.Google Scholar
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