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Matrix transformations of some generalized analytic sequence spaces - MaRDI portal

Matrix transformations of some generalized analytic sequence spaces (Q701384)

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scientific article; zbMATH DE number 1819999
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Matrix transformations of some generalized analytic sequence spaces
scientific article; zbMATH DE number 1819999

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    Matrix transformations of some generalized analytic sequence spaces (English)
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    20 March 2003
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    Summary: The aim of this paper is to define and investigate the generalized analytic sequence spaces \(c^\nu_0(p,s)\), \(l^\nu_\infty(p,s)\) and \(l^\nu(p,s)\) and to determine the matrices of classes like \((l^\nu_\infty(p,s),l_\infty)\), (\(c^\nu_0(p,s), l_\infty)\), \((l^\nu(p,s),l_\infty)\), \((l^\nu_\infty(p,s), c)\), \((c^\nu_0(p,s), c)\), and \((l^\nu(p,s),c)\), where the sequence spaces and \(c\) are respectively the spaces of bounded and convergent complex sequences.
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