Beyond hyperinvariance for compact operators (Q1766527)

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scientific article; zbMATH DE number 2141618
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Beyond hyperinvariance for compact operators
scientific article; zbMATH DE number 2141618

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    Beyond hyperinvariance for compact operators (English)
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    8 March 2005
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    The main result of the paper under review is that if \(K\) is a nonzero compact operator on the separable, infinite-dimensional Hilbert space \(H\), then the algebra \(B_{K}\) has a non-trivial invariant closed subspace.
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    spectral algebras
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    invariant subspace
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    compact operators
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    quasinilpotent operators
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    separable Hilbert space
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