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arXiv · 1805.03960

Measures of Noncompactness in $\bar{N}(p,q)$ Summable Sequence Spaces

Ishfaq Ahmad Malik·Tanweer Jalal
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Abstract

In this paper we first define the $\bar{N}(p,q)$ summable sequence spaces and obtain some basic results related to these spaces. The necessary and sufficient conditions for infinite matrices $A$ to map these spaces on $X~~,~~X=c_0, c \text{ or } \ell_{\infty}$ is obtained and Hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of linear operators defined on these spaces.

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BibTeXRIS

Ishfaq Ahmad Malik, Tanweer Jalal. 2018-05-12. Measures of Noncompactness in $\bar{N}(p,q)$ Summable Sequence Spaces. https://arxiv.org/abs/1805.03960

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