RT journal article T1 Schur Lemma and Uniform Convergence of Series through Convergence Methods A1 León Saavedra, Fernando A1 Romero de la Rosa, María Pilar A1 Sala Pérez, Antonio A2 Matemáticas K1 Schur lemma K1 unconditionally Cauchy series K1 completeness K1 summability methods AB In this note, we prove a Schur-type lemma for bounded multiplier series. This result allows us to obtain a unified vision of several previous results, focusing on the underlying structure and the properties that a summability method must satisfy in order to establish a result of Schur's lemma type. PB MDPI SN 2227-7390 YR 2020 FD 2020-10 LK http://hdl.handle.net/10498/24082 UL http://hdl.handle.net/10498/24082 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 22-sep-2026