ON SOME CLASSICAL PROPERTIES OF NORMED SPACES VIAGENERALIZED VECTOR VALUED ALMOST CONVERGENCE
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Recently, the authors interested some new problems on multiplier spaces of Lorentz' almost convergence and f(lambda)-convergence as a generalization of almost convergence. f(lambda)-convergence is firstly introduced by Karakus and Basar, and used for some new characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in a normed space X and its continuous dual X*. In the present paper, we deal with f(lambda)-convergence to have some inclusion relations between the vector valued spaces obtained from this type convergence and corresponding classical sequence spaces, and to give new characterizations of some classical properties like completeness, reflexivity, Schur property and Grothendieck property of normed spaces. By the way, we give a characterization of finite-dimensional normed spaces.
Açıklama
Anahtar Kelimeler
Summability methods, completeness, Schur and Grothendieck properties, reflexivity
Kaynak
Mathematica Slovaca
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
72
Sayı
6
