Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$. After that, it investigated some properties and inclusion relations, established the Schauder basis, and stated $\alpha-$, $\beta-$, and $\gamma-$duals of the aforementioned spaces. Additionally, it is characterized by the matrix classes from newly described spaces to classical sequence spaces. Finally, we studied the compactness of matrix operators on related sequence spaces.
Açıklama
Anahtar Kelimeler
Pure Mathematics (Other), Temel Matematik (Diğer)
Kaynak
Communications in Advanced Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
1
