A generalization of almost convergence, completeness of some normed spaces with wuC series and a version of Orlicz-Pettis theorem
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we give a slight generalization of almost convergence and introduce some new multiplier spaces associated to a series k xk in a normed space X by means of this new summability method. We also obtain some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X *, respectively. Finally, we give a version of the Orlicz-Pettis theorem, as an application of this new method and an unconditionally convergent series k xk in a normed space X.
Açıklama
Anahtar Kelimeler
Almost convergence, wuC series, uc series, Orlicz-Pettis theorem
Kaynak
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
113
Sayı
4
