Matrix Transformations

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 2 in Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, 2014, pp 33-70 from Springer

Abstract: Abstract The study of sequence spaces is much more profitable when we consider them equipped with certain topologies. In this chapter, we study various duals of some sequence spaces, e.g. continuous dual, $$\alpha $$ -dual, $$\beta $$ -dual etc. and characterize several matrix classes, e.g. Toeplitz matrices, Schur matrices etc.. The theory of matrix transformations deals with establishing necessary and sufficient conditions on the entries of a matrix to map a sequence space $$X$$ into a sequence space $$Y$$ .

Keywords: Continuous dual; Köthe-Toeplitz dual; Generalized Köthe-Toeplitz dual; Bounded dual; Symmetric dual; Functional dual; Multiplier space; Matrix transformation; Toeplitz matrix; Schur matrix; Conull and coregular matrices (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_2

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DOI: 10.1007/978-81-322-1886-9_2

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