Summability of subsequences and rearrangements of sequences

Keagy, Thomas A.

doi:10.1090/S0002-9939-1978-0509240-2

Summability of subsequences and rearrangements of sequences
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by Thomas A. Keagy

Proc. Amer. Math. Soc. 72 (1978), 492-496

DOI: https://doi.org/10.1090/S0002-9939-1978-0509240-2

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Abstract:

Sufficient conditions have been given that require a matrix A to have the property that every sequence x with a finite limit point have a subsequence y such that each finite limit point of x is a limit point of Ay. In this paper, we show that these conditions may be weakened and obtain an analog in which “subsequence” is replaced with “rearrangement".

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