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On restriction properties of multiplication operators (Q1284522)

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scientific article; zbMATH DE number 1278884
Language Label Description Also known as
English
On restriction properties of multiplication operators
scientific article; zbMATH DE number 1278884

    Statements

    title
    On restriction properties of multiplication operators (English)
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    publication date
    26 April 1999
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    review text
    Summary: A multiplication operator \(A\) acting in a rearrangement-invariant function space \(E\) is considered. Infinite-dimensional subspaces \(X\) of \(E\) for which the restriction \(A| X\) is an isomorphism are described. Applications to multiplied trigonometric sequences in Banach function spaces are given.
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    zbMATH Keywords
    multiplication operator
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    rearrangement-invariant function space
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    trigonometric sequences
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    Banach function spaces
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    author
    A. M. Plichko
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    V. V. Shevchik
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    cites work
    Information widths
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    Q3920145
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    Identifiers

    DOI
    10.4171/ZAA/867
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    Mathematics Subject Classification ID
    47B38
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    46E30
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    46B15
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    zbMATH DE Number
    1278884
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    OpenAlex ID
    W2034191888
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