Invariant and hyperinvariant subspaces of an operator \(J^{\alpha}\) and related operator algebras in Sobolev spaces (Q1601632)
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scientific article; zbMATH DE number 1760984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant and hyperinvariant subspaces of an operator \(J^{\alpha}\) and related operator algebras in Sobolev spaces |
scientific article; zbMATH DE number 1760984 |
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Invariant and hyperinvariant subspaces of an operator \(J^{\alpha}\) and related operator algebras in Sobolev spaces (English)
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27 June 2002
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The authors investigate the invariant and hyperinvariant subspaces of the operators \(J^{\alpha} = J_k^{\alpha}\) and the complex powers of the integration operator \(J= J_k\) on the Sobolev space \(W^k_p[0,1]\). In particular, the unicellularity of these operators are characterized.
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invariant subspaces
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hyperinvariant subspaces
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cyclic subspaces
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Volterra operators
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Sobolev space
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unicellularity
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