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Compact operators on some Fibonacci difference sequence spaces
Journal article   Open access  Peer reviewed

Compact operators on some Fibonacci difference sequence spaces

Abdullah Alotaibi, Mohammad Mursaleen, Badriah A. S. Alamri and Syed Abdul Mohiuddine
Journal of inequalities and applications, Vol.2015(1), pp.1-8
18/06/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we characterize the matrix classes (l(1), l(p)((F) over cap)) (1 <= p <= infinity), where l(p)((F) over cap) is some Fibonacci difference sequence spaces. We also obtain estimates for the norms of the bounded linear operators L-Lambda defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.
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https://doi.org/10.1186/s13660-015-0713-5View
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