Abstract
In this paper we show that no regular matrix can sum all subsequences of a divergent sequence. We also show that the Cesaro matrix cannot sum almost all subsequences of a divergent sequence. These results can be viewed as generalizations of a well-known result of Steinhaus.
Citation
Christopher Stuart. "Summability of subsequences of a divergent sequence." Rocky Mountain J. Math. 44 (1) 289 - 295, 2014. https://doi.org/10.1216/RMJ-2014-44-1-289
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