Completeness of the system of root vectors of operators in a space with indefinite metric (Q756091)
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scientific article; zbMATH DE number 4190477
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Completeness of the system of root vectors of operators in a space with indefinite metric |
scientific article; zbMATH DE number 4190477 |
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Completeness of the system of root vectors of operators in a space with indefinite metric (English)
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1987
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Hilbert space operators written in the form \(A=H(I+S)\) are considered. Various conditions on H and S sufficient for the system of root vectors of A to be complete are announced. Part of these conditions have to do with compactness and behaviour in an indefinite metric.
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completeness of the system of root vectors of a linear pencil
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Hilbert space operators
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compactness
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indefinite metric
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