Some topological and geometrical properties of new Banach sequence spaces

KARA E. E.

Journal of Inequalities and Applications, cilt.2013, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-38
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: α-, β-, γ -duals, Banach-Saks type p, Difference matrix, Fibonacci numbers, Fixed point property, Matrix transformations, Sequence spaces
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In the present paper, we introduce a new band matrix F and define the sequence Space where fk is the kth Fibonacci number for every k ∈ N. We also establish some inclusion relations concerning this space and determine its α-, β-, γ -duals. Further, we characterize some matrix classes on the space ℓp(F ) and examine some geometric properties of this space. © 2013 Kara; licensee Springer.