On the factorable spaces of absolutely p-summable, null, convergent, and bounded sequences
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let F denote the factorable matrix and X is an element of {l(p), c(0), c, l(infinity)}. In this study, we introduce the domains X(F) of the factorable matrix in the spaces X. Also, we give the bases and determine the alpha-, beta- and gamma-duals of the spaces X(F). We obtain the necessary and sufficient conditions on an infinite matrix belonging to the classes (l(p)(F), l(infinity)), (l(p)(F), f) and (X, Y(F)) of matrix transformations, where Y denotes any given sequence space. Furthermore, we give the necessary and sufficient conditions for factorizing an operator based on the matrix F and derive two factorizations for the Cesaro and Hilbert matrices based on the Gamma matrix. Additionally, we investigate the norm of operators on the domain of the matrix F. Finally, we find the norm of Hilbert operators on some sequence spaces and deal with the lower bound of operators on the domain of the factorable matrix.
Açıklama
Anahtar Kelimeler
domain of factorable matrix, almost convergence, weighted mean matrix, Hilbert matrix, gamma matrix, Cesaro matrix
Kaynak
Mathematica Slovaca
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
71
Sayı
6
