Highly tempering infinite matrices

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URI: http://hdl.handle.net/10498/35419

DOI: 10.1007/s13398-017-0385-8

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Author/s
Bernal, L.; Conejero, J.A.; Murillo Arcila, MarinaAuthority UCA; Seoane-Sepúlveda, J.B.
Date
2018
Department
Matemáticas
Source
RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 112(2) (2018), 341–345
Abstract
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.
Subjects
Summation method; in nite matrix; divergent sequence; Toeplitz- Silverman theorem; dense linear subspace
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