On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate some properties of the domains l(p) (Gamma(n)), c(0) (Gamma(n)), c(Gamma(n)) and l(infinity)(Gamma(n)) of the Gamma matrix of order n in the classical spaces l(p), C-0, c and l(infinity) of absolutely p-summable, null, convergent and bounded sequences, respectively, and compute the alpha-, beta- and gamma-duals of these spaces. We characterize the classes of infinite matrices from the space l(p) (Gamma(n)) to the spaces l(infinity) and f, and from a normed sequence space to the gamma sequence spaces l(p)(Gamma(n)), c(0) (Gamma(n)), c(Gamma(n)) and l(infinity)(Gamma(n)). Moreover, we introduce the necessary and sufficient conditions for factorizing an operator based on the weighted mean matrices and derive the factorizations for the Cesaro and Hilbert matrices based on the Gamma matrix. Finally, we emphasize on the lower bound of operators from l(p) into l(p) (Gamma(n)), from l(p)(Gamma(n)) into l(p), from l(p) (Gamma(n)) into itself and from l(p) into itself.
Açıklama
Anahtar Kelimeler
Almost convergence, Cesaro matrix, Hausdorff matrix, Hilbert matrix, matrix operator, norm, sequence space
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
43
Sayı
6
