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1978•Proceedings of the American Mathematical SocietyOpen access

Summability of Subsequences and Rearrangements of Sequences

Thomas A. Keagy

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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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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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Available 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".

Key concepts: Subsequence, Limit (mathematics), Limit point, Mathematics, Sequence (biology), Property (philosophy), Point (geometry), Combinatorics

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