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1. Measures of Noncompactness in (N̅qΔ −) Summable Difference Sequence Spaces.

Author

Malik, I. Ahmad and Jalal, T.

Subjects
*MATHEMATICS, *MATRIX analytic methods, *LINEAR operators, *MAPS, *NONLINEAR operators
Abstract

In this paper we first introduce N̅qΔ − 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 l∞. Finally, the Hausdorff measure of noncompactness is then used to obtain the necessary and sufficient conditions for the compactness of the linear operators defined on these spaces. [ABSTRACT FROM AUTHOR]

Published
2019

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