Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space) (Q1072087)
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scientific article; zbMATH DE number 3942293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space) |
scientific article; zbMATH DE number 3942293 |
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Eine Verallgemeinerung mehrerer Störungskriterien verschiedenen Typs im Hilbertraum. (A generalization of some perturbation criteria of different type in Hilbert space) (English)
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1983
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The author proves a criterion connected with the m-accretivity for the not only additively but also multiplicatively perturbed operator of an accretive operator in a Hilbert space. It is then used to give criteria for the sum \(A+B\) of two selfadjoint operators A and B to be selfadjoint or essentially selfadjoint. The results include as special cases various known ones by Rellich-Kato, Gustafson, Wüst, Okazawa, Faris-Lavine and Glimm-Jaffe.
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Rellich-Kato theorem
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m-accretivity
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multiplicatively perturbed operator of an accretive operator in a Hilbert space
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selfadjoint operators
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essentially selfadjoint
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