Numerical range of linear operators in spaces with indefinite metric (Q1187237)
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scientific article; zbMATH DE number 39017
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical range of linear operators in spaces with indefinite metric |
scientific article; zbMATH DE number 39017 |
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Numerical range of linear operators in spaces with indefinite metric (English)
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28 June 1992
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Let \(H\) be a complex Hilbert space with indefinite inner product \((x,y)\) and \(A: H\to H\) be a linear operator. The main theorem proved is that the set \(V(A)=\{(Ax,x)\): \((x,x)=1\}\) is convex.
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indefinite inner product
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