Compactness and \(s\)-numbers for polynomials (Q1751623)

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scientific article; zbMATH DE number 6873481
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Compactness and \(s\)-numbers for polynomials
scientific article; zbMATH DE number 6873481

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    Compactness and \(s\)-numbers for polynomials (English)
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    25 May 2018
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    In this paper, the authors extend the notion of measure of noncompactness to the polynomial setting using approximation, Kolmogorov and Gelfand numbers, which are introduced for homogeneous polynomials. They also provide concrete examples of $s$-numbers sequences of diagonal homogeneous polynomials between sequence spaces.
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    homogeneous polynomials
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    \(s\)-numbers sequences
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    approximation numbers
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    Kolmogorov numbers
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    measure of non-compactness
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