Completeness of a Normed Space via Strong p-Cesàro Summability

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URI: http://hdl.handle.net/10498/30491

DOI: 10.2298/FIL1910013L

ISSN: 0354-5180

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Author/s
León Saavedra, FernandoAuthority UCA; Moreno Pulido, SoledadAuthority UCA; Sala Pérez, AntonioAuthority UCA
Date
2019
Department
Matemáticas
Source
Filomat 33:10 (2019), 3013–3022
Abstract
In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Cesàro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Cesàro summability is obtained.
Subjects
statistical convergence; strong p-Cesàro summability; weak undonditionally Cauchy series
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional