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Compact matrix operators on a new sequence space related to spaces
Journal article   Open access  Peer reviewed

Compact matrix operators on a new sequence space related to spaces

Abdullah Alotaibi, Mohammad Mursaleen and Syed Abdul Mohiuddine
Journal of inequalities and applications, Vol.2016(1), pp.1-19
01/12/2016
DOI: https://doi.org/10.1186/s13660-016-1129-6

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space which is related to spaces. By applying the Hausdorff measure of noncompactness, we obtain the necessary and sufficient conditions for such operators to be compact. Further, we study some geometric properties of this space.
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https://doi.org/10.1186/s13660-016-1129-6View
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