A new identity for resolvents of operators (Q355545)
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scientific article; zbMATH DE number 6191067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new identity for resolvents of operators |
scientific article; zbMATH DE number 6191067 |
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A new identity for resolvents of operators (English)
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25 July 2013
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Summary: A new identity for resolvents of operators is suggested. We show that, in appropriate situations, it is more convenient than the Hilbert identity. In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators. As a particular case, we consider perturbations of Hilbert-Schmidt operators.
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