Vector-Valued Spaces of Multiplier Statistically Convergent Series and Uniform Convergence
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of such spaces is studied as well as some relations between unconditionally convergent and weakly unconditionally Cauchy series of these spaces. We also obtain generalizations of some results regarding uniform convergence of unconditionally convergent series through the concept of statistical convergence. Finally, we provide a version of the Orlicz- Pettis theorem for A-multiplier convergent operator series by means of the statistical convergence.
Açıklama
Anahtar Kelimeler
Statistical convergence, Uniform convergence, Unconditionally convergent series, Weakly unconditionally Cauchy series
Kaynak
Results in Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
77
Sayı
1
