Invariant subspaces of Volterra operators (Q1066063)

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scientific article; zbMATH DE number 3923472
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Invariant subspaces of Volterra operators
scientific article; zbMATH DE number 3923472

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    Invariant subspaces of Volterra operators (English)
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    1984
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    This paper develops Lomonosov's techniques for obtaining invariant subspaces from compactness properties. The author proves that any algebra of operators (in a Banach space) whose radical contains a nonzero compact operator has a nontrivial invariant subspace, which is also invariant for its commutant.
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    Lomonosov's techniques for obtaining invariant subspaces
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    compactness properties
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    radical
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