García-Pacheco, Francisco Javier; Miralles, Alejandro; Murillo Arcila, Marina(Springer-Verlag, 2022-01)
[EN] Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
García-Pacheco, Francisco Javier; Kama, Ramazan; Murillo Arcila, Marina(Springer-Verlag, 2022-02)
[EN] In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of such spaces is studied as well as some relations between unconditionally ...