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Summability of Matrix Transforms of Subsequences

Published online by Cambridge University Press:  20 November 2018

Thomas A. Keagy
Thomas A. Keagy*
Affiliation:
Department of Mathematics, University of Texas at Tyler Tyler, Texas 75701
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Abstract

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D. F. Dawson has considered several questions of the following nature. Suppose T is a regular matrix summability method. If A is a regular matrix and x is a sequence having a finite limit point, then there exists a subsequence y of x such that each finite limit point of x is a T-limit point of Ay. In the present paper, we show the regularity condition for A may be replaced by the requirement that A be a limit preserving bv to c map. This leads to summability characterizations for several classes of sequences.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 359 - 364
Copyright
Copyright © Canadian Mathematical Society 1981

References

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