On unitary equivalence to a self-adjoint or doubly–positive Hankel operator
Let A be a bounded, injective and self-adjoint linear operator on a complex separable Hilbert space. We prove that there is a pure isometry, V, so that AV > 0 and A is Hankel with respect to V, i.e. V*A = AV, if and only if A is not invertible. The isometry V can be chosen to be isomorphic to N ∈...
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-07-01
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| Series: | Concrete Operators |
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| Online Access: | https://doi.org/10.1515/conop-2022-0132 |