The invariant subspace problem for rank-one perturbations (Q2002636)
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scientific article; zbMATH DE number 7080118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The invariant subspace problem for rank-one perturbations |
scientific article; zbMATH DE number 7080118 |
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The invariant subspace problem for rank-one perturbations (English)
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12 July 2019
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Let \(X\) be an infinite dimensional complex Banach space and \((\mathcal{B}(X),\|\cdot\|)\) be the set of bounded operators endowed with the norm \(\|\cdot\|\). The purpose of the author is to show that there exists an operator \(F\in\mathcal{B}(X)\) of rank at most one such that \(T+F\) has an invariant subspace of infinite dimension and codimension.
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Banach spaces
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invariant subspace problem
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finite-rank perturbation
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0.98222315
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0.9204288
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0.9174191
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