Schur Lemma and Uniform Convergence of Series through Convergence Methods

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URI: http://hdl.handle.net/10498/24082

DOI: 10.3390/math8101744

ISSN: 2227-7390

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Author/s
León Saavedra, FernandoAuthority UCA; Romero de la Rosa, María PilarAuthority UCA; Sala Pérez, AntonioAuthority UCA
Date
2020-10
Department
Matemáticas
Source
Mathematics 2020, 8(10), 1744
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.
Subjects
Schur lemma; unconditionally Cauchy series; completeness; summability methods
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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional