@misc{10498/24082, year = {2020}, month = {10}, url = {http://hdl.handle.net/10498/24082}, abstract = {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.}, publisher = {MDPI}, keywords = {Schur lemma}, keywords = {unconditionally Cauchy series}, keywords = {completeness}, keywords = {summability methods}, title = {Schur Lemma and Uniform Convergence of Series through Convergence Methods}, doi = {10.3390/math8101744}, author = {León Saavedra, Fernando and Romero de la Rosa, María Pilar and Sala Pérez, Antonio}, }