%0 Journal Article %A Bernal, L. %A Conejero, J.A. %A Murillo Arcila, Marina %A Seoane-Sepúlveda, J.B. %T Highly tempering infinite matrices %D 2018 %U http://hdl.handle.net/10498/35419 %X 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. %K Summation method %K in nite matrix %K divergent sequence %K Toeplitz- Silverman theorem %K dense linear subspace %~ Universidad de Cádiz