Statistical Cluster Points of Subsequences of Double Sequences
DOI:
https://doi.org/10.5644/SJM.12.2.11Keywords:
Subsequences, double sequences, statistical cluster pointsAbstract
The main result of this paper is the double sequence analogue of a theorem about cluster points of single sequences that has recently submitted for publication [8]. Namely, we show here that if $x$ is a double sequence then $\Gamma_x$ (the set of statistical cluster points of $x$) equals $\Gamma_y$ (the set of statistical cluster points of $y$) for "almost all" subsequences $y$ of $x.$
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