On Some Geometric Properties of Some Catalan Sequence Spaces
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Association of Mathematicians (MATDER)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
It is important to know whether a Banach space is rotund or smooth when examining the structural properties of the space, especially its geometric properties. Gateaux differentiability of the norm of the space has an important place in the discussion of smoothness. In this study, we examined such properties of the sequence spaces ℓp (˜C), 1 ≤ p < ∞, and ℓ∞(˜C) constructed by the sequence of Catalan numbers. We have also shown that some types of these spaces have elite structural properties such as Approximation and Dunford-Pettis Properties. © MatDer.
Açıklama
Anahtar Kelimeler
approximation property, Catalan numbers, Dunford-Pettis property, rotundity, smoothness
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
17
Sayı
2
