On the role of the comparison function in the spectral theory of selfadjoint operators (Q627333)
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scientific article; zbMATH DE number 5858852
| Language | Label | Description | Also known as |
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| English | On the role of the comparison function in the spectral theory of selfadjoint operators |
scientific article; zbMATH DE number 5858852 |
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On the role of the comparison function in the spectral theory of selfadjoint operators (English)
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1 March 2011
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Given two selfadjoint lower semi-bounded operators on an \(L^2\)-space, the authors study their spectral deviation in terms of an integral deviation of the corresponding exponential semigroups (called the comparison function). In particular, integrability properties of the comparison function imply operator properties of the difference of the exponential semigroups.
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spectral theory
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operator semigroups
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comparison function
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