Banach Spaces and Inequalities Associated with New Generalization of Cesaro Matrix
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let the triangle matrix A(ru) be a generalization of the Cesaro matrix and U & ISIN; {c(0), c, l(& INFIN;)}. In this study, we essentially deal with the space U(A(ru)) defined by the domain of A(ru) in the space U and give the bases, and determine the Kothe-Toeplitz, generalized Kothe-Toeplitz and bounded-duals of the space U (A(ru)). We characterize the classes (l(& INFIN;) (A(ru)):l(& INFIN;)), (l(& INFIN;)(A(ru)): c), (c(A(ru)): c), and (U: V(A(ru))) of infinite matrices, where V denotes any given sequence space. Additionally, we also present a Steinhaus type theorem. As an another result of this study, we investigate the l(p)-norm of the matrix A(ru) and as a result obtaining a generalized version of Hardy's inequality, and some inclusion relations. Moreover, we compute the norm of well-known operators on the matrix domain l(p) (A(ru)).
Açıklama
Anahtar Kelimeler
matrix domain, normed sequence space, duals and matrix transformations
Kaynak
Acta Mathematica Scientia
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
43
Sayı
4
