Some topological and geometrical properties of new Banach sequence spaces
Journal of Inequalities and Applications, vol.2013, 2013 (SCI-Expanded, Scopus)
- 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.