On symmetrizable operators on Hilbert spaces (Q925270)
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scientific article; zbMATH DE number 5281958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On symmetrizable operators on Hilbert spaces |
scientific article; zbMATH DE number 5281958 |
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On symmetrizable operators on Hilbert spaces (English)
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3 June 2008
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Letting \(G\) be a bounded linear operator and \(S\) a bounded nonnegative selfadjoint operator on a complex Hilbert space such that \(SG\) is selfadjoint, spectral properties of \(G\) are derived, in particular lower bounds (and in some cases exact values) for its spectral radius, and the compactness of \(SG\) when \(G\) is power compact. The results are then applied in transport theory.
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symmetrisable operator
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spectral radius
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min-max and max-min principles
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spectral inequalities
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