Some topological and geometrical properties of new Banach sequence spaces

KARA E. E.

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

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-38
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: α-, β-, γ -duals, Banach-Saks type p, Difference matrix, Fibonacci numbers, Fixed point property, Matrix transformations, Sequence spaces
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

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.