On some new type generalized difference sequence spaces

Mathematica Slovaca

Ayhan Esi¹  Bipul Sarma¹  Binod Tripathy¹ 

关键词: difference sequence space;    Banach space;    solid space;    symmetric space;    completeness;    convergence free;   

DOI  :  10.2478/s12175-007-0039-y

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper we introduce a new type of difference operator Δmn for fixed m, n ∈ ℕ. We define the sequence spaces ℓ∞(Δmn), c(Δmn) and c 0(Δmn) and study some topological properties of these spaces. We obtain some inclusion relations involving these sequence spaces. These notions generalize many earlier existing notions on difference sequence spaces.

【 授权许可】

Unknown