Department of Mathematics, Trident Academy of Technology, Infocity, Bhubaneswar -751024
,IN
S. Dutta
Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar
,IN
Keywords:
Difference Sequence Spaces α-, β-, and γ- Duals.
Abstract
The main purpose of the present paper is to introduce a new class of difference sequence spaces l∞(Δ[k], ν,p),c0(Δ[k], ν,p) and c(Δ[k], ν,p), where Δ[k](xk) = kxk - (k+1)xk+1 for all k = 1,2,3.... Also, we derive some inclusion relations and other topological properties of these spaces. Finally we discuss about their α-, β-, and γ- duals.