ON SOME NEW SEQUENCE SPACES DEFINED BY q-PASCAL MATRIX
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ivane Javakhishvili Tbilisi State Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we construct the q-analog P(q) of Pascal matrix and study the sequence spaces c(P(q)) and c(0)(P(q)) defined as the domain of q-Pascal matrix P(q) in the spaces c and c(0), respectively. We investigate certain topological properties, determine Schauder bases and compute Kothe duals of the spaces c(0)(P(q)) and c(P(q)). We state and prove the theorems characterizing the classes of matrix mappings from the space c(P(q)) to the spaces l(infinity) of bounded sequences and f of almost convergent sequences. Additionally, we also derive the characterizations of some classes of infinite matrices as a direct consequence of the results about the classes (c(P (q)), l(infinity)) and (c(P(q)), f)). Finally, we obtain the necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(P (q)) to anyone of the spaces l(infinity), c, c(0), l(1), cs(0), cs, bs.
Açıklama
Anahtar Kelimeler
Sequence space, q-Pascal matrix, Schauder basis, Kothe duals, Matrix mappings, Compact operator
Kaynak
Transactions of A Razmadze Mathematical Institute
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
176
Sayı
1
