Geodesic
Limit Preserving Summability of Subsequences
Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 173-176

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DOI

The purpose of this paper is to characterize those matrices A with the property that if x is a sequence with limit point σ, then there exists a subsequence y of x such that lim Ay = σ. 
Keagy, Thomas A. Limit Preserving Summability of Subsequences. Canadian mathematical bulletin, Tome 21 (1978) no. 2, pp. 173-176. doi: 10.4153/CMB-1978-029-3
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     title = {Limit {Preserving} {Summability} of {Subsequences}},
     journal = {Canadian mathematical bulletin},
     pages = {173--176},
     year = {1978},
     volume = {21},
     number = {2},
     doi = {10.4153/CMB-1978-029-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-029-3/}
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