\(B\)-Fredholm linear relations in Hilbert spaces (Q2003775)
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scientific article; zbMATH DE number 7254983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(B\)-Fredholm linear relations in Hilbert spaces |
scientific article; zbMATH DE number 7254983 |
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\(B\)-Fredholm linear relations in Hilbert spaces (English)
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2 October 2020
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The authors introduce the notion of Drazin invertibility for range space linear relations and they prove that Drazin invertible linear relations with nonempty algebraic resolvent sets allow a Kato decomposition and that each B-Fredholm linear relation of index zero and with nonempty algebraic resolvent set is a sum of a closed Dravin invertible linear relation and a finite rank operator.
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\(B\)-Fredholm linear relations
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Kato decomposition
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polynomial in a linear relation
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