Open AccessCompleteness of a normed space via strong p-Cesàro summability
Author(s) -
Fernando León-Saavedra,
Soledad Moreno-Pulido,
Antonio Sala-Pérez
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1910013l
Subject(s) - mathematics , completeness (order theory) , normed vector space , pure mathematics , space (punctuation) , discrete mathematics , algebra over a field , mathematical analysis , linguistics , philosophy
In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Ces?ro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Ces?ro summability is obtained.