Singular spectrum for generators of semigroups (Q2767597)
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scientific article; zbMATH DE number 1697742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular spectrum for generators of semigroups |
scientific article; zbMATH DE number 1697742 |
Statements
3 July 2002
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spectral inclusion theorem
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singular spectrum
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\(\ell_0\)-semigroup
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generator
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Singular spectrum for generators of semigroups (English)
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The authors prove a spectral inclusion theorem \( e^{t \sigma_{\gamma}(A)} \subset \sigma_{\gamma} (T(t)) \setminus \{0\}\), \(t\geq 0 \), for the singular spectrum \(\sigma_\gamma \) of a \(\ell_{0} \)-semigroup \( (T(t))_{t \geq 0} \) and its generator A.
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