Vector valued paranormed statistically convergent double sequence spaces

Mathematica Slovaca

Bipul Sarma¹  Binod Tripathy¹ 

关键词: complete space;    paranormed space;    solid space;    statistical convergence;    double sequence;   

DOI  :  10.2478/s12175-007-0008-5

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 article we introduce the vector valued paranormed sequence spaces $${}_2overline c (q,p), {}_2overline c _0 (q,p), ({}_2overline c )^B (q,p), ({}_2overline c _0 )^B (q,p), ({}_2overline c )^R (q,p)$$ and $$({}_2overline c _0 )^R (q,p)$$ defined over a seminormed space (X,q). We study their different properties like completeness, solidness, symmetry, convergence freeness etc. We prove some inclusion results.

【 授权许可】

Unknown