Notes on the resolvent set (Q1098076)
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scientific article; zbMATH DE number 4036517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Notes on the resolvent set |
scientific article; zbMATH DE number 4036517 |
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Notes on the resolvent set (English)
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1986
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We want to add here another two proofs that the resolvent set of a linear operator is open. The first proof depends on the Hahn-Banach theorem and the second on the Neumann series construction of a linear isomorphism between Ran(A-\(\lambda)\) and Ran(A-\(\mu)\).
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the resolvent set of a linear operator
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Hahn-Banach theorem
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Neumann series
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0.8798105
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0.8756729
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0.87469405
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