Measures of Noncompactness in (N¯q ∆−) Summable Difference Sequence Spaces

Author(s):

Ishfaq Ahmad Malik* , Tanweer Jalal

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper we first introduce N¯ q ∆− summable difference sequence spaces and prove some properties of these spaces. We then obtain the necessary and sufficient conditions for infinite matrix A to map these sequence spaces on the spaces c, c0 and ∞. Finally, the Hausdorff measure of noncompactness is used to obtain the necessary and sufficient conditions for the compactness of the linear operators defined on these spaces.

Keywords:

Difference sequence space , BK spaces , matrix transformations , measures of noncompactness

Language:
English
Published:
Journal of Mathematical Extension, Volume:13 Issue: 4, Autumn 2019
Pages:
143 to 159
https://www.magiran.com/p2263259