RT journal article T1 Highly tempering infinite matrices A1 Bernal, L. A1 Conejero, J.A. A1 Murillo Arcila, Marina A1 Seoane-Sepúlveda, J.B. A2 Matemáticas K1 Summation method K1 in nite matrix K1 divergent sequence K1 Toeplitz- Silverman theorem K1 dense linear subspace AB In this short note, it is proved the existence of infinite matrices thatnot 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. PB Springer-Verlag YR 2018 FD 2018 LK http://hdl.handle.net/10498/35419 UL http://hdl.handle.net/10498/35419 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026