期刊
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
卷 112, 期 2, 页码 341-345出版社
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s13398-017-0385-8
关键词
Summation method; Infinite matrix; Divergent sequence; Toeplitz-Silverman theorem; Dense linear subspace
资金
- Plan Andaluz de Investigacion de la Junta de Andalucia [FQM-127, P08-FQM-03543]
- MEC [MTM2015-65242-C2-1-P, MTM2016-75963-P]
- [MTM2015-65825-P]
In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of sequences but also convert every member of some dense vector space consisting, except for zero, of divergent sequences, into a convergent sequence.
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