Characterizations of Unconditionally Convergent andWeakly Unconditionally Cauchy Series via wRp -Summability, Orlicz-Pettis Type Theorems and Compact Summing Operator
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we give a new characterization of unconditional convergent series and give some new versions of the Orlicz-Pettis theorem via FQ s-family and a natural family F with the separation property S1 through wRp -summability which may be considered as a generalization of the well-known strong p-Ces`aro summability. Among other results, we obtain a new (weak) compactness criteria for the summing operator.
Açıklama
Anahtar Kelimeler
Valued Multiplier Spaces, Normed Spaces, Completeness
Kaynak
Filomat
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
36
Sayı
18
