A note on the invariant subspace problem (Q6550956)
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scientific article; zbMATH DE number 7860600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the invariant subspace problem |
scientific article; zbMATH DE number 7860600 |
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A note on the invariant subspace problem (English)
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5 June 2024
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The invariant subspace problem asks whether every bounded linear operator on a separable complex infinite dimensional Hilbert space has a nontrivial closed invariant subspace. This problem is a long-standing open problem, and in the paper under review, the author discuss the invariant subspace problem for hyponormal operators, namely, operators such that \([T^*,T]\geq 0\). They address three strategies towards a possible affirmative answer to that problem.
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invariant subspace problem
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hyponormal operators
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Brown-Douglas-Fillmore theorem
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Aluthge transform
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