The invariant subspace problem (Q5921704)
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scientific article; zbMATH DE number 2242614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The invariant subspace problem |
scientific article; zbMATH DE number 2242614 |
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The invariant subspace problem (English)
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3 January 2006
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Summary: Does every bounded operator on a Hilbert space have a nontrivial invariant subspace? This question has a positive answer for finite-dimensional and for non-separable spaces. The problem is unsolved for general separable Hilbert spaces, and it is for those known as the invariant subspace problem. This article is a historical overview on various attempts to give partial solutions to the problem.
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