Matrix Transformation and Compactness on q-Catalan Sequence Spaces
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article intends to develop q-Catalan sequence spaces l(p)(C(q)) and l(infinity)(C(q)) due to q-Catalan matrix C(q) in lp and l infinity, respectively. Apart from obtaining some basic topological properties and Schauder basis, we compute alpha-, beta-, and gamma-duals of the spaces l(p)(C(q)) and l(infinity)(C(q)). We state and prove a theorem that characterize certain matrix classes (X, Y), where X is either of the space l(p)(C(q)) or l(infinity)(C(q)) and Y is an element of{l(infinity),c(0),c,l(1)}. The final section is devoted to determination of certain conditions by which a matrix operator becomes compact.
Açıklama
Anahtar Kelimeler
Compact, duals, matrix transformation, operator, q-Catalan matrix, sequence space
Kaynak
Numerical Functional Analysis and Optimization
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
45
Sayı
4-6
