On the Kato-Rosenblum theorem (Q1082594)
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scientific article; zbMATH DE number 3973649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Kato-Rosenblum theorem |
scientific article; zbMATH DE number 3973649 |
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On the Kato-Rosenblum theorem (English)
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1986
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The Kato-Rosenblum theorem has no straightforward generalization to operators with non-absolutely continuous spectra. For example, if A is a bounded selfadjoint operator such that the singular continuous parts of H and \(H+A\) are unitarily equivalent for every selfadjoint operator H, then \(A=0\).
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Weyl-von Neumann theorem
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curdling
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singular spectrum
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absolutely continuous spectrum
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Kato-Rosenblum theorem
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operators with non- absolutely continuous spectra
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selfadjoint operator
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0.92879444
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