On Some Topological and Geometric Properties of Some q-Cesaro Sequence Spaces
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Mathematical concepts are aesthetic tools that are useful to create methods or solutions to real-world problems in theory and practice, and that sometimes contain symmetrical and asymmetrical structures due to the nature of the problems. In this study, we investigate whether the sequence spaces X-q(p), 0= p<8, and X8, which are constructed by q-Cesaro matrix, satisfy some of the further properties described with respect to the bounded linear operators on them. More specifically, we answer to the question: Which of these spaces have the Approximation, Dunford-Pettis, Radon-Riesz and Hahn-Banach extension properties?. Furthermore, we try to investigate some geometric properties such as rotundity and smootness of these spaces.
Açıklama
Anahtar Kelimeler
Cesaro matrix, sequence spaces, Hahn-Banach operator
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
15
Sayı
4
