Application to Compact Matrix Operators

Józef Banaś () and Mohammad Mursaleen ()
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Józef Banaś: Rzeszów University of Technology, Department of Mathematics
Mohammad Mursaleen: Aligarh Muslim University, Department of Mathematics

Chapter Chapter 6 in Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, 2014, pp 185-218 from Springer

Abstract: Abstract In this chapter, we present some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain operators given by infinite matrices that map an arbitrary BK space into the sequence spaces $$c_{0}$$ , $$c$$ , $$\ell _{\infty }$$ and $$\ell _{1}$$ , and into the matrix domains of triangles in these spaces. It is shown that many linear compact operators may be represented as matrix operators in sequence spaces or integral operators in function spaces.

Keywords: Sequence spaces; Matrix transformations; Matrix domains of triangles; Operator norm; Compact matrix operators (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1886-9_6

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DOI: 10.1007/978-81-322-1886-9_6

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