Category theorems for Schrödinger semigroups (Q2658497)
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scientific article; zbMATH DE number 7326797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Category theorems for Schrödinger semigroups |
scientific article; zbMATH DE number 7326797 |
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Category theorems for Schrödinger semigroups (English)
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23 March 2021
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Summary: Stimulated by the category theorems of Eisner and Serény in the setting of unitary and isometric \(C_0\)-semigroups on separable Hilbert spaces, we prove category theorems for Schrödinger semigroups. Speci cally, we show that, to a given class of Schrödinger semigroups, Baire generically the semigroups are strongly stable but not exponentially stable. We also present a typical spectral property of the corresponding Schrödinger operators.
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Schrödinger semigroups
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stable \(C_0\)-semigroups
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exponential stability
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Baire category theorem
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