Spectral theory for linear relations via linear operators (Q429103)
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scientific article; zbMATH DE number 6049813
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theory for linear relations via linear operators |
scientific article; zbMATH DE number 6049813 |
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Spectral theory for linear relations via linear operators (English)
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26 June 2012
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Let \(X\) be a complex Banach space and \(X_0\) a closed vector subspace of it. A linear subspace \(Z\) of \(X\times X\) is called a linear relation in \(X\). The authors develop a spectral theory for closed quotient range operators, that is, for closed linear operators of the form \(T:D(T)\mapsto X/X_0\). As a result, several spectral properties of linear relations are obtained.
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linear relations
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spectrum
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analytic functional calculus
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