Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce some new multiplier spaces related to a series Sigma(i)x(i) in a normed space X through f-statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X*, respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the f-statistical convergence.
Açıklama
Anahtar Kelimeler
Statistical convergence, Orlicz-Pettis Theorem, weakly unconditionally Cauchy series, completeness
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
42
Sayı
12
