Semigroup domination and eigenvalue estimates (Q2761459)
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scientific article; zbMATH DE number 1685303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroup domination and eigenvalue estimates |
scientific article; zbMATH DE number 1685303 |
Statements
18 July 2003
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domination between selfadjoint semigroups
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eigenvalue estimates
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magnetic Schrödinger operators
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0.9684961
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0.8937278
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0.89281785
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0.88807535
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0.88275087
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0.8821573
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Semigroup domination and eigenvalue estimates (English)
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Using the domination \(|e^{-tS}|\leq e^{-tT}\), \(t \geq 0 \), between two selfadjoint semigroups \((e^{-tS})_{t\geq 0} \) and \((e^{-tT})_{t\geq 0 }\) on \( L^2\)-spaces, the author obtains eigenvalue estimates for \(S\) from the ones for \(T\). Applications to magnetic Schrödinger operators are given.
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