The role of convexity in existence theorems for invariant and hyperinvariant subspaces in Hilbert spaces (Q1568124)
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scientific article; zbMATH DE number 1462354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The role of convexity in existence theorems for invariant and hyperinvariant subspaces in Hilbert spaces |
scientific article; zbMATH DE number 1462354 |
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The role of convexity in existence theorems for invariant and hyperinvariant subspaces in Hilbert spaces (English)
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26 November 2000
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Let \(H\) be a Hilbert space, and let \(A: H\to H\) be a bounded linear operator. By using extreme point methods similar to those introduced in a previous paper [Arch. Math. 45, 354-358 (1985; Zbl 0564.46049)] the author states necessary and sufficient conditions for the existence of a non-trivial closed subspace of \(H\) which is invariant (respectively hyperinvariant) for both \(A\) and \(A^*\).
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invariant subspace
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hyperinvariant subspace
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0.8241763710975647
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0.8185586929321289
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0.8016144037246704
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0.7989346385002136
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0.7970839738845825
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