A study of topological and geometrical characteristics of new Banach sequence spaces

Abstract

A short extract of this study is to submit a new sequence space ℓ_p(F(r,s)) under the domain of the matrix F(r,s) constituted by using Fibonacci sequence and non-zero real number r and s of ℓ_p previously defined. Additionally, we construct some inclusion relations concerning with this space and determine its the α-, β-, γ-duals. Moreover, we characterize some matrix classes on the space ℓ_p(F(r,s)) and examine some geometric properties of this space.